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Finding the Fourth Proportional to 562.47, 842.40 and 543.01

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Solution

The fourth proportional to 562.47, 842.40 and 543.01 is: 813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.47 : 842.40 = 543.01 : x
  2. Step 2: Convert to fraction form
    562.47/842.40 = 543.01/x
  3. Step 3: Cross multiply
    562.47x = 842.40 × 543.01
  4. Step 4: Simplify right side
    562.47x = 457,431.62
  5. Step 5: Solve for x
    x = 457,431.62/562.47
  6. Step 6: Final answer
    x = 813.26

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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.