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Finding the Fourth Proportional to 689.89, 952.13 and 410.17

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Solution

The fourth proportional to 689.89, 952.13 and 410.17 is: 566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.89 : 952.13 = 410.17 : x
  2. Step 2: Convert to fraction form
    689.89/952.13 = 410.17/x
  3. Step 3: Cross multiply
    689.89x = 952.13 × 410.17
  4. Step 4: Simplify right side
    689.89x = 390,535.16
  5. Step 5: Solve for x
    x = 390,535.16/689.89
  6. Step 6: Final answer
    x = 566.08

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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.