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Finding the Fourth Proportional to 387.29, 534.74 and 276.88

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Solution

The fourth proportional to 387.29, 534.74 and 276.88 is: 382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.29 : 534.74 = 276.88 : x
  2. Step 2: Convert to fraction form
    387.29/534.74 = 276.88/x
  3. Step 3: Cross multiply
    387.29x = 534.74 × 276.88
  4. Step 4: Simplify right side
    387.29x = 148,058.81
  5. Step 5: Solve for x
    x = 148,058.81/387.29
  6. Step 6: Final answer
    x = 382.29

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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.