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Finding the Fourth Proportional to 689.80, 951.93 and 410.17

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Solution

The fourth proportional to 689.80, 951.93 and 410.17 is: 566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.80 : 951.93 = 410.17 : x
  2. Step 2: Convert to fraction form
    689.80/951.93 = 410.17/x
  3. Step 3: Cross multiply
    689.80x = 951.93 × 410.17
  4. Step 4: Simplify right side
    689.80x = 390,453.13
  5. Step 5: Solve for x
    x = 390,453.13/689.80
  6. Step 6: Final answer
    x = 566.04

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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.