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Finding the Fourth Proportional to 461.85, 637.54 and 314.57

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Solution

The fourth proportional to 461.85, 637.54 and 314.57 is: 434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.85 : 637.54 = 314.57 : x
  2. Step 2: Convert to fraction form
    461.85/637.54 = 314.57/x
  3. Step 3: Cross multiply
    461.85x = 637.54 × 314.57
  4. Step 4: Simplify right side
    461.85x = 200,548.18
  5. Step 5: Solve for x
    x = 200,548.18/461.85
  6. Step 6: Final answer
    x = 434.23

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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.