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Finding the Fourth Proportional to 461.90, 637.52 and 314.88

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Solution

The fourth proportional to 461.90, 637.52 and 314.88 is: 434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.90 : 637.52 = 314.88 : x
  2. Step 2: Convert to fraction form
    461.90/637.52 = 314.88/x
  3. Step 3: Cross multiply
    461.90x = 637.52 × 314.88
  4. Step 4: Simplify right side
    461.90x = 200,742.30
  5. Step 5: Solve for x
    x = 200,742.30/461.90
  6. Step 6: Final answer
    x = 434.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.