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Finding the Fourth Proportional to 691.88, 954.68 and 412.16

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Solution

The fourth proportional to 691.88, 954.68 and 412.16 is: 568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.88 : 954.68 = 412.16 : x
  2. Step 2: Convert to fraction form
    691.88/954.68 = 412.16/x
  3. Step 3: Cross multiply
    691.88x = 954.68 × 412.16
  4. Step 4: Simplify right side
    691.88x = 393,480.91
  5. Step 5: Solve for x
    x = 393,480.91/691.88
  6. Step 6: Final answer
    x = 568.71

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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.