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Finding the Fourth Proportional to 417.86, 576.62 and 275.90

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Solution

The fourth proportional to 417.86, 576.62 and 275.90 is: 380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.86 : 576.62 = 275.90 : x
  2. Step 2: Convert to fraction form
    417.86/576.62 = 275.90/x
  3. Step 3: Cross multiply
    417.86x = 576.62 × 275.90
  4. Step 4: Simplify right side
    417.86x = 159,087.26
  5. Step 5: Solve for x
    x = 159,087.26/417.86
  6. Step 6: Final answer
    x = 380.72

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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.