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Finding the Fourth Proportional to 592.20, 816.66 and 461.16

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Solution

The fourth proportional to 592.20, 816.66 and 461.16 is: 635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.20 : 816.66 = 461.16 : x
  2. Step 2: Convert to fraction form
    592.20/816.66 = 461.16/x
  3. Step 3: Cross multiply
    592.20x = 816.66 × 461.16
  4. Step 4: Simplify right side
    592.20x = 376,610.93
  5. Step 5: Solve for x
    x = 376,610.93/592.20
  6. Step 6: Final answer
    x = 635.95

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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.