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Finding the Fourth Proportional to 308.52, 458.87 and 302.04

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Solution

The fourth proportional to 308.52, 458.87 and 302.04 is: 449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.52 : 458.87 = 302.04 : x
  2. Step 2: Convert to fraction form
    308.52/458.87 = 302.04/x
  3. Step 3: Cross multiply
    308.52x = 458.87 × 302.04
  4. Step 4: Simplify right side
    308.52x = 138,595.58
  5. Step 5: Solve for x
    x = 138,595.58/308.52
  6. Step 6: Final answer
    x = 449.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.