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Finding the Fourth Proportional to 521.40, 782.14 and 232.88

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Solution

The fourth proportional to 521.40, 782.14 and 232.88 is: 349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.40 : 782.14 = 232.88 : x
  2. Step 2: Convert to fraction form
    521.40/782.14 = 232.88/x
  3. Step 3: Cross multiply
    521.40x = 782.14 × 232.88
  4. Step 4: Simplify right side
    521.40x = 182,144.76
  5. Step 5: Solve for x
    x = 182,144.76/521.40
  6. Step 6: Final answer
    x = 349.34

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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.