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Finding the Fourth Proportional to 462.06, 637.46 and 296.24

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Solution

The fourth proportional to 462.06, 637.46 and 296.24 is: 408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.06 : 637.46 = 296.24 : x
  2. Step 2: Convert to fraction form
    462.06/637.46 = 296.24/x
  3. Step 3: Cross multiply
    462.06x = 637.46 × 296.24
  4. Step 4: Simplify right side
    462.06x = 188,841.15
  5. Step 5: Solve for x
    x = 188,841.15/462.06
  6. Step 6: Final answer
    x = 408.70

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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.