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Finding the Fourth Proportional to 279.52, 417.20 and 256.72

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Solution

The fourth proportional to 279.52, 417.20 and 256.72 is: 383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.52 : 417.20 = 256.72 : x
  2. Step 2: Convert to fraction form
    279.52/417.20 = 256.72/x
  3. Step 3: Cross multiply
    279.52x = 417.20 × 256.72
  4. Step 4: Simplify right side
    279.52x = 107,103.58
  5. Step 5: Solve for x
    x = 107,103.58/279.52
  6. Step 6: Final answer
    x = 383.17

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