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Finding the Fourth Proportional to 417.52, 576.44 and 277.72

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Solution

The fourth proportional to 417.52, 576.44 and 277.72 is: 383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.52 : 576.44 = 277.72 : x
  2. Step 2: Convert to fraction form
    417.52/576.44 = 277.72/x
  3. Step 3: Cross multiply
    417.52x = 576.44 × 277.72
  4. Step 4: Simplify right side
    417.52x = 160,088.92
  5. Step 5: Solve for x
    x = 160,088.92/417.52
  6. Step 6: Final answer
    x = 383.43

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