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Finding the Fourth Proportional to 461.62, 637.49 and 295.91

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Solution

The fourth proportional to 461.62, 637.49 and 295.91 is: 408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.62 : 637.49 = 295.91 : x
  2. Step 2: Convert to fraction form
    461.62/637.49 = 295.91/x
  3. Step 3: Cross multiply
    461.62x = 637.49 × 295.91
  4. Step 4: Simplify right side
    461.62x = 188,639.67
  5. Step 5: Solve for x
    x = 188,639.67/461.62
  6. Step 6: Final answer
    x = 408.65

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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.