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Finding the Fourth Proportional to 334.47, 502.05 and 204.62

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Solution

The fourth proportional to 334.47, 502.05 and 204.62 is: 307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.47 : 502.05 = 204.62 : x
  2. Step 2: Convert to fraction form
    334.47/502.05 = 204.62/x
  3. Step 3: Cross multiply
    334.47x = 502.05 × 204.62
  4. Step 4: Simplify right side
    334.47x = 102,726.96
  5. Step 5: Solve for x
    x = 102,726.96/334.47
  6. Step 6: Final answer
    x = 307.13

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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.