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Finding the Fourth Proportional to 561.22, 772.60 and 498.95

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Solution

The fourth proportional to 561.22, 772.60 and 498.95 is: 686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.22 : 772.60 = 498.95 : x
  2. Step 2: Convert to fraction form
    561.22/772.60 = 498.95/x
  3. Step 3: Cross multiply
    561.22x = 772.60 × 498.95
  4. Step 4: Simplify right side
    561.22x = 385,488.77
  5. Step 5: Solve for x
    x = 385,488.77/561.22
  6. Step 6: Final answer
    x = 686.88

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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.