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Finding the Fourth Proportional to 691.42, 954.11 and 411.68

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Solution

The fourth proportional to 691.42, 954.11 and 411.68 is: 568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.42 : 954.11 = 411.68 : x
  2. Step 2: Convert to fraction form
    691.42/954.11 = 411.68/x
  3. Step 3: Cross multiply
    691.42x = 954.11 × 411.68
  4. Step 4: Simplify right side
    691.42x = 392,784.26
  5. Step 5: Solve for x
    x = 392,784.26/691.42
  6. Step 6: Final answer
    x = 568.09

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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.