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Finding the Fourth Proportional to 461.88, 637.42 and 306.52

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Solution

The fourth proportional to 461.88, 637.42 and 306.52 is: 423.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.88 : 637.42 = 306.52 : x
  2. Step 2: Convert to fraction form
    461.88/637.42 = 306.52/x
  3. Step 3: Cross multiply
    461.88x = 637.42 × 306.52
  4. Step 4: Simplify right side
    461.88x = 195,381.98
  5. Step 5: Solve for x
    x = 195,381.98/461.88
  6. Step 6: Final answer
    x = 423.01

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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.