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Finding the Fourth Proportional to 689.98, 952.02 and 410.16

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Solution

The fourth proportional to 689.98, 952.02 and 410.16 is: 565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.98 : 952.02 = 410.16 : x
  2. Step 2: Convert to fraction form
    689.98/952.02 = 410.16/x
  3. Step 3: Cross multiply
    689.98x = 952.02 × 410.16
  4. Step 4: Simplify right side
    689.98x = 390,480.52
  5. Step 5: Solve for x
    x = 390,480.52/689.98
  6. Step 6: Final answer
    x = 565.93

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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.