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Finding the Fourth Proportional to 461.06, 691.62 and 214.16

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Solution

The fourth proportional to 461.06, 691.62 and 214.16 is: 321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.06 : 691.62 = 214.16 : x
  2. Step 2: Convert to fraction form
    461.06/691.62 = 214.16/x
  3. Step 3: Cross multiply
    461.06x = 691.62 × 214.16
  4. Step 4: Simplify right side
    461.06x = 148,117.34
  5. Step 5: Solve for x
    x = 148,117.34/461.06
  6. Step 6: Final answer
    x = 321.25

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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.