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Finding the Fourth Proportional to 691.41, 954.06 and 411.73

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Solution

The fourth proportional to 691.41, 954.06 and 411.73 is: 568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.41 : 954.06 = 411.73 : x
  2. Step 2: Convert to fraction form
    691.41/954.06 = 411.73/x
  3. Step 3: Cross multiply
    691.41x = 954.06 × 411.73
  4. Step 4: Simplify right side
    691.41x = 392,813.07
  5. Step 5: Solve for x
    x = 392,813.07/691.41
  6. Step 6: Final answer
    x = 568.14

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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.