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Finding the Fourth Proportional to 461.01, 691.44 and 214.15

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Solution

The fourth proportional to 461.01, 691.44 and 214.15 is: 321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.01 : 691.44 = 214.15 : x
  2. Step 2: Convert to fraction form
    461.01/691.44 = 214.15/x
  3. Step 3: Cross multiply
    461.01x = 691.44 × 214.15
  4. Step 4: Simplify right side
    461.01x = 148,070.64
  5. Step 5: Solve for x
    x = 148,070.64/461.01
  6. Step 6: Final answer
    x = 321.18

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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.