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Finding the Fourth Proportional to 691.56, 954.60 and 412.04

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Solution

The fourth proportional to 691.56, 954.60 and 412.04 is: 568.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.56 : 954.60 = 412.04 : x
  2. Step 2: Convert to fraction form
    691.56/954.60 = 412.04/x
  3. Step 3: Cross multiply
    691.56x = 954.60 × 412.04
  4. Step 4: Simplify right side
    691.56x = 393,333.38
  5. Step 5: Solve for x
    x = 393,333.38/691.56
  6. Step 6: Final answer
    x = 568.76

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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.