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Finding the Fourth Proportional to 689.58, 951.55 and 409.83

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Solution

The fourth proportional to 689.58, 951.55 and 409.83 is: 565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.58 : 951.55 = 409.83 : x
  2. Step 2: Convert to fraction form
    689.58/951.55 = 409.83/x
  3. Step 3: Cross multiply
    689.58x = 951.55 × 409.83
  4. Step 4: Simplify right side
    689.58x = 389,969.14
  5. Step 5: Solve for x
    x = 389,969.14/689.58
  6. Step 6: Final answer
    x = 565.52

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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.