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Finding the Fourth Proportional to 691.60, 954.38 and 411.84

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Solution

The fourth proportional to 691.60, 954.38 and 411.84 is: 568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.60 : 954.38 = 411.84 : x
  2. Step 2: Convert to fraction form
    691.60/954.38 = 411.84/x
  3. Step 3: Cross multiply
    691.60x = 954.38 × 411.84
  4. Step 4: Simplify right side
    691.60x = 393,051.86
  5. Step 5: Solve for x
    x = 393,051.86/691.60
  6. Step 6: Final answer
    x = 568.32

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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.