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Finding the Fourth Proportional to 417.46, 576.40 and 335.02

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Solution

The fourth proportional to 417.46, 576.40 and 335.02 is: 462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.46 : 576.40 = 335.02 : x
  2. Step 2: Convert to fraction form
    417.46/576.40 = 335.02/x
  3. Step 3: Cross multiply
    417.46x = 576.40 × 335.02
  4. Step 4: Simplify right side
    417.46x = 193,105.53
  5. Step 5: Solve for x
    x = 193,105.53/417.46
  6. Step 6: Final answer
    x = 462.57

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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.