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Finding the Fourth Proportional to 690.54, 952.96 and 542.90

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Solution

The fourth proportional to 690.54, 952.96 and 542.90 is: 749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.54 : 952.96 = 542.90 : x
  2. Step 2: Convert to fraction form
    690.54/952.96 = 542.90/x
  3. Step 3: Cross multiply
    690.54x = 952.96 × 542.90
  4. Step 4: Simplify right side
    690.54x = 517,361.98
  5. Step 5: Solve for x
    x = 517,361.98/690.54
  6. Step 6: Final answer
    x = 749.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.