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Finding the Fourth Proportional to 462.13, 637.57 and 296.32

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Solution

The fourth proportional to 462.13, 637.57 and 296.32 is: 408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.13 : 637.57 = 296.32 : x
  2. Step 2: Convert to fraction form
    462.13/637.57 = 296.32/x
  3. Step 3: Cross multiply
    462.13x = 637.57 × 296.32
  4. Step 4: Simplify right side
    462.13x = 188,924.74
  5. Step 5: Solve for x
    x = 188,924.74/462.13
  6. Step 6: Final answer
    x = 408.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.