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Finding the Fourth Proportional to 417.82, 576.79 and 278.17

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Solution

The fourth proportional to 417.82, 576.79 and 278.17 is: 384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.82 : 576.79 = 278.17 : x
  2. Step 2: Convert to fraction form
    417.82/576.79 = 278.17/x
  3. Step 3: Cross multiply
    417.82x = 576.79 × 278.17
  4. Step 4: Simplify right side
    417.82x = 160,445.67
  5. Step 5: Solve for x
    x = 160,445.67/417.82
  6. Step 6: Final answer
    x = 384.01

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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.