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Finding the Fourth Proportional to 417.76, 576.24 and 262.24

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Solution

The fourth proportional to 417.76, 576.24 and 262.24 is: 361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.76 : 576.24 = 262.24 : x
  2. Step 2: Convert to fraction form
    417.76/576.24 = 262.24/x
  3. Step 3: Cross multiply
    417.76x = 576.24 × 262.24
  4. Step 4: Simplify right side
    417.76x = 151,113.18
  5. Step 5: Solve for x
    x = 151,113.18/417.76
  6. Step 6: Final answer
    x = 361.72

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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.