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Finding the Fourth Proportional to 461.48, 691.76 and 214.94

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Solution

The fourth proportional to 461.48, 691.76 and 214.94 is: 322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.48 : 691.76 = 214.94 : x
  2. Step 2: Convert to fraction form
    461.48/691.76 = 214.94/x
  3. Step 3: Cross multiply
    461.48x = 691.76 × 214.94
  4. Step 4: Simplify right side
    461.48x = 148,682.36
  5. Step 5: Solve for x
    x = 148,682.36/461.48
  6. Step 6: Final answer
    x = 322.19

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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.