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Finding the Fourth Proportional to 521.49, 782.24 and 233.13

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Solution

The fourth proportional to 521.49, 782.24 and 233.13 is: 349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.49 : 782.24 = 233.13 : x
  2. Step 2: Convert to fraction form
    521.49/782.24 = 233.13/x
  3. Step 3: Cross multiply
    521.49x = 782.24 × 233.13
  4. Step 4: Simplify right side
    521.49x = 182,363.61
  5. Step 5: Solve for x
    x = 182,363.61/521.49
  6. Step 6: Final answer
    x = 349.70

Related Problems

Find fourth proportional to 260.75, 391.12 and 116.57
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.