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Finding the Fourth Proportional to 387.54, 534.96 and 294.30

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Solution

The fourth proportional to 387.54, 534.96 and 294.30 is: 406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.54 : 534.96 = 294.30 : x
  2. Step 2: Convert to fraction form
    387.54/534.96 = 294.30/x
  3. Step 3: Cross multiply
    387.54x = 534.96 × 294.30
  4. Step 4: Simplify right side
    387.54x = 157,438.73
  5. Step 5: Solve for x
    x = 157,438.73/387.54
  6. Step 6: Final answer
    x = 406.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.