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Finding the Fourth Proportional to 566.50, 843.26 and 539.95

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Solution

The fourth proportional to 566.50, 843.26 and 539.95 is: 803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.50 : 843.26 = 539.95 : x
  2. Step 2: Convert to fraction form
    566.50/843.26 = 539.95/x
  3. Step 3: Cross multiply
    566.50x = 843.26 × 539.95
  4. Step 4: Simplify right side
    566.50x = 455,318.24
  5. Step 5: Solve for x
    x = 455,318.24/566.50
  6. Step 6: Final answer
    x = 803.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.