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Finding the Fourth Proportional to 592.60, 817.66 and 444.90

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Solution

The fourth proportional to 592.60, 817.66 and 444.90 is: 613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.60 : 817.66 = 444.90 : x
  2. Step 2: Convert to fraction form
    592.60/817.66 = 444.90/x
  3. Step 3: Cross multiply
    592.60x = 817.66 × 444.90
  4. Step 4: Simplify right side
    592.60x = 363,776.93
  5. Step 5: Solve for x
    x = 363,776.93/592.60
  6. Step 6: Final answer
    x = 613.87

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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.