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Finding the Fourth Proportional to 521.92, 782.88 and 180.16

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Solution

The fourth proportional to 521.92, 782.88 and 180.16 is: 270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.92 : 782.88 = 180.16 : x
  2. Step 2: Convert to fraction form
    521.92/782.88 = 180.16/x
  3. Step 3: Cross multiply
    521.92x = 782.88 × 180.16
  4. Step 4: Simplify right side
    521.92x = 141,043.66
  5. Step 5: Solve for x
    x = 141,043.66/521.92
  6. Step 6: Final answer
    x = 270.24

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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.