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Finding the Fourth Proportional to 462.66, 637.89 and 296.58

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Solution

The fourth proportional to 462.66, 637.89 and 296.58 is: 408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.66 : 637.89 = 296.58 : x
  2. Step 2: Convert to fraction form
    462.66/637.89 = 296.58/x
  3. Step 3: Cross multiply
    462.66x = 637.89 × 296.58
  4. Step 4: Simplify right side
    462.66x = 189,185.42
  5. Step 5: Solve for x
    x = 189,185.42/462.66
  6. Step 6: Final answer
    x = 408.91

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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.