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Finding the Fourth Proportional to 462.85, 638.35 and 296.80

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Solution

The fourth proportional to 462.85, 638.35 and 296.80 is: 409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.85 : 638.35 = 296.80 : x
  2. Step 2: Convert to fraction form
    462.85/638.35 = 296.80/x
  3. Step 3: Cross multiply
    462.85x = 638.35 × 296.80
  4. Step 4: Simplify right side
    462.85x = 189,459.94
  5. Step 5: Solve for x
    x = 189,459.94/462.85
  6. Step 6: Final answer
    x = 409.34

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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.