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Finding the Fourth Proportional to 417.52, 576.20 and 262.32

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Solution

The fourth proportional to 417.52, 576.20 and 262.32 is: 362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.52 : 576.20 = 262.32 : x
  2. Step 2: Convert to fraction form
    417.52/576.20 = 262.32/x
  3. Step 3: Cross multiply
    417.52x = 576.20 × 262.32
  4. Step 4: Simplify right side
    417.52x = 151,148.78
  5. Step 5: Solve for x
    x = 151,148.78/417.52
  6. Step 6: Final answer
    x = 362.02

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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.