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Finding the Fourth Proportional to 592.14, 817.38 and 417.72

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Solution

The fourth proportional to 592.14, 817.38 and 417.72 is: 576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.14 : 817.38 = 417.72 : x
  2. Step 2: Convert to fraction form
    592.14/817.38 = 417.72/x
  3. Step 3: Cross multiply
    592.14x = 817.38 × 417.72
  4. Step 4: Simplify right side
    592.14x = 341,435.97
  5. Step 5: Solve for x
    x = 341,435.97/592.14
  6. Step 6: Final answer
    x = 576.61

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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.