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Finding the Fourth Proportional to 562.48, 841.80 and 521.20

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Solution

The fourth proportional to 562.48, 841.80 and 521.20 is: 780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.48 : 841.80 = 521.20 : x
  2. Step 2: Convert to fraction form
    562.48/841.80 = 521.20/x
  3. Step 3: Cross multiply
    562.48x = 841.80 × 521.20
  4. Step 4: Simplify right side
    562.48x = 438,746.16
  5. Step 5: Solve for x
    x = 438,746.16/562.48
  6. Step 6: Final answer
    x = 780.02

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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.