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Finding the Fourth Proportional to 308.06, 463.12 and 285.52

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Solution

The fourth proportional to 308.06, 463.12 and 285.52 is: 429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.06 : 463.12 = 285.52 : x
  2. Step 2: Convert to fraction form
    308.06/463.12 = 285.52/x
  3. Step 3: Cross multiply
    308.06x = 463.12 × 285.52
  4. Step 4: Simplify right side
    308.06x = 132,230.02
  5. Step 5: Solve for x
    x = 132,230.02/308.06
  6. Step 6: Final answer
    x = 429.23

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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.