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Finding the Fourth Proportional to 555.90, 833.16 and 542.25

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Solution

The fourth proportional to 555.90, 833.16 and 542.25 is: 812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.90 : 833.16 = 542.25 : x
  2. Step 2: Convert to fraction form
    555.90/833.16 = 542.25/x
  3. Step 3: Cross multiply
    555.90x = 833.16 × 542.25
  4. Step 4: Simplify right side
    555.90x = 451,781.01
  5. Step 5: Solve for x
    x = 451,781.01/555.90
  6. Step 6: Final answer
    x = 812.70

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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.