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Finding the Fourth Proportional to 417.86, 576.49 and 270.57

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Solution

The fourth proportional to 417.86, 576.49 and 270.57 is: 373.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.86 : 576.49 = 270.57 : x
  2. Step 2: Convert to fraction form
    417.86/576.49 = 270.57/x
  3. Step 3: Cross multiply
    417.86x = 576.49 × 270.57
  4. Step 4: Simplify right side
    417.86x = 155,979.55
  5. Step 5: Solve for x
    x = 155,979.55/417.86
  6. Step 6: Final answer
    x = 373.29

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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.