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Finding the Fourth Proportional to 691.35, 954.19 and 411.75

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Solution

The fourth proportional to 691.35, 954.19 and 411.75 is: 568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.35 : 954.19 = 411.75 : x
  2. Step 2: Convert to fraction form
    691.35/954.19 = 411.75/x
  3. Step 3: Cross multiply
    691.35x = 954.19 × 411.75
  4. Step 4: Simplify right side
    691.35x = 392,888.25
  5. Step 5: Solve for x
    x = 392,888.25/691.35
  6. Step 6: Final answer
    x = 568.29

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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.