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Finding the Fourth Proportional to 417.36, 576.12 and 406.32

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Solution

The fourth proportional to 417.36, 576.12 and 406.32 is: 560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.36 : 576.12 = 406.32 : x
  2. Step 2: Convert to fraction form
    417.36/576.12 = 406.32/x
  3. Step 3: Cross multiply
    417.36x = 576.12 × 406.32
  4. Step 4: Simplify right side
    417.36x = 234,089.08
  5. Step 5: Solve for x
    x = 234,089.08/417.36
  6. Step 6: Final answer
    x = 560.88

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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.