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Finding the Fourth Proportional to 542.17, 811.43 and 497.22

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Solution

The fourth proportional to 542.17, 811.43 and 497.22 is: 744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.17 : 811.43 = 497.22 : x
  2. Step 2: Convert to fraction form
    542.17/811.43 = 497.22/x
  3. Step 3: Cross multiply
    542.17x = 811.43 × 497.22
  4. Step 4: Simplify right side
    542.17x = 403,459.22
  5. Step 5: Solve for x
    x = 403,459.22/542.17
  6. Step 6: Final answer
    x = 744.16

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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.