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Finding the Fourth Proportional to 462.37, 638.37 and 296.65

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Solution

The fourth proportional to 462.37, 638.37 and 296.65 is: 409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.37 : 638.37 = 296.65 : x
  2. Step 2: Convert to fraction form
    462.37/638.37 = 296.65/x
  3. Step 3: Cross multiply
    462.37x = 638.37 × 296.65
  4. Step 4: Simplify right side
    462.37x = 189,372.46
  5. Step 5: Solve for x
    x = 189,372.46/462.37
  6. Step 6: Final answer
    x = 409.57

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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.