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Finding the Fourth Proportional to 689.85, 952.01 and 375.14

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Solution

The fourth proportional to 689.85, 952.01 and 375.14 is: 517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.85 : 952.01 = 375.14 : x
  2. Step 2: Convert to fraction form
    689.85/952.01 = 375.14/x
  3. Step 3: Cross multiply
    689.85x = 952.01 × 375.14
  4. Step 4: Simplify right side
    689.85x = 357,132.27
  5. Step 5: Solve for x
    x = 357,132.27/689.85
  6. Step 6: Final answer
    x = 517.70

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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.