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Finding the Fourth Proportional to 461.07, 691.68 and 214.52

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Solution

The fourth proportional to 461.07, 691.68 and 214.52 is: 321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.07 : 691.68 = 214.52 : x
  2. Step 2: Convert to fraction form
    461.07/691.68 = 214.52/x
  3. Step 3: Cross multiply
    461.07x = 691.68 × 214.52
  4. Step 4: Simplify right side
    461.07x = 148,379.19
  5. Step 5: Solve for x
    x = 148,379.19/461.07
  6. Step 6: Final answer
    x = 321.81

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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.