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Finding the Fourth Proportional to 306.02, 458.79 and 224.91

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Solution

The fourth proportional to 306.02, 458.79 and 224.91 is: 337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.02 : 458.79 = 224.91 : x
  2. Step 2: Convert to fraction form
    306.02/458.79 = 224.91/x
  3. Step 3: Cross multiply
    306.02x = 458.79 × 224.91
  4. Step 4: Simplify right side
    306.02x = 103,186.46
  5. Step 5: Solve for x
    x = 103,186.46/306.02
  6. Step 6: Final answer
    x = 337.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.