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Finding the Fourth Proportional to 592.72, 817.49 and 417.76

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Solution

The fourth proportional to 592.72, 817.49 and 417.76 is: 576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.72 : 817.49 = 417.76 : x
  2. Step 2: Convert to fraction form
    592.72/817.49 = 417.76/x
  3. Step 3: Cross multiply
    592.72x = 817.49 × 417.76
  4. Step 4: Simplify right side
    592.72x = 341,513.62
  5. Step 5: Solve for x
    x = 341,513.62/592.72
  6. Step 6: Final answer
    x = 576.18

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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.