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Finding the Fourth Proportional to 461.35, 637.03 and 356.29

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Solution

The fourth proportional to 461.35, 637.03 and 356.29 is: 491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.35 : 637.03 = 356.29 : x
  2. Step 2: Convert to fraction form
    461.35/637.03 = 356.29/x
  3. Step 3: Cross multiply
    461.35x = 637.03 × 356.29
  4. Step 4: Simplify right side
    461.35x = 226,967.42
  5. Step 5: Solve for x
    x = 226,967.42/461.35
  6. Step 6: Final answer
    x = 491.96

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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.