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Finding the Fourth Proportional to 461.17, 691.93 and 214.50

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Solution

The fourth proportional to 461.17, 691.93 and 214.50 is: 321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.17 : 691.93 = 214.50 : x
  2. Step 2: Convert to fraction form
    461.17/691.93 = 214.50/x
  3. Step 3: Cross multiply
    461.17x = 691.93 × 214.50
  4. Step 4: Simplify right side
    461.17x = 148,417.65
  5. Step 5: Solve for x
    x = 148,417.65/461.17
  6. Step 6: Final answer
    x = 321.83

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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.