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Finding the Fourth Proportional to 302.54, 456.08 and 292.97

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Solution

The fourth proportional to 302.54, 456.08 and 292.97 is: 441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 456.08 = 292.97 : x
  2. Step 2: Convert to fraction form
    302.54/456.08 = 292.97/x
  3. Step 3: Cross multiply
    302.54x = 456.08 × 292.97
  4. Step 4: Simplify right side
    302.54x = 133,616.52
  5. Step 5: Solve for x
    x = 133,616.52/302.54
  6. Step 6: Final answer
    x = 441.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.