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Finding the Fourth Proportional to 417.96, 576.72 and 287.15

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Solution

The fourth proportional to 417.96, 576.72 and 287.15 is: 396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.96 : 576.72 = 287.15 : x
  2. Step 2: Convert to fraction form
    417.96/576.72 = 287.15/x
  3. Step 3: Cross multiply
    417.96x = 576.72 × 287.15
  4. Step 4: Simplify right side
    417.96x = 165,602.26
  5. Step 5: Solve for x
    x = 165,602.26/417.96
  6. Step 6: Final answer
    x = 396.22

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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.