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Finding the Fourth Proportional to 337.76, 466.10 and 213.47

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Solution

The fourth proportional to 337.76, 466.10 and 213.47 is: 294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.76 : 466.10 = 213.47 : x
  2. Step 2: Convert to fraction form
    337.76/466.10 = 213.47/x
  3. Step 3: Cross multiply
    337.76x = 466.10 × 213.47
  4. Step 4: Simplify right side
    337.76x = 99,496.57
  5. Step 5: Solve for x
    x = 99,496.57/337.76
  6. Step 6: Final answer
    x = 294.58

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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.