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Finding the Fourth Proportional to 461.33, 691.35 and 358.14

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Solution

The fourth proportional to 461.33, 691.35 and 358.14 is: 536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.33 : 691.35 = 358.14 : x
  2. Step 2: Convert to fraction form
    461.33/691.35 = 358.14/x
  3. Step 3: Cross multiply
    461.33x = 691.35 × 358.14
  4. Step 4: Simplify right side
    461.33x = 247,600.09
  5. Step 5: Solve for x
    x = 247,600.09/461.33
  6. Step 6: Final answer
    x = 536.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.