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Finding the Fourth Proportional to 562.24, 841.80 and 557.20

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Solution

The fourth proportional to 562.24, 841.80 and 557.20 is: 834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.24 : 841.80 = 557.20 : x
  2. Step 2: Convert to fraction form
    562.24/841.80 = 557.20/x
  3. Step 3: Cross multiply
    562.24x = 841.80 × 557.20
  4. Step 4: Simplify right side
    562.24x = 469,050.96
  5. Step 5: Solve for x
    x = 469,050.96/562.24
  6. Step 6: Final answer
    x = 834.25

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