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Finding the Fourth Proportional to 308.72, 463.08 and 291.80

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Solution

The fourth proportional to 308.72, 463.08 and 291.80 is: 437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.72 : 463.08 = 291.80 : x
  2. Step 2: Convert to fraction form
    308.72/463.08 = 291.80/x
  3. Step 3: Cross multiply
    308.72x = 463.08 × 291.80
  4. Step 4: Simplify right side
    308.72x = 135,126.74
  5. Step 5: Solve for x
    x = 135,126.74/308.72
  6. Step 6: Final answer
    x = 437.70

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