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Finding the Fourth Proportional to 564.85, 844.84 and 502.75

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Solution

The fourth proportional to 564.85, 844.84 and 502.75 is: 751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.85 : 844.84 = 502.75 : x
  2. Step 2: Convert to fraction form
    564.85/844.84 = 502.75/x
  3. Step 3: Cross multiply
    564.85x = 844.84 × 502.75
  4. Step 4: Simplify right side
    564.85x = 424,736.57
  5. Step 5: Solve for x
    x = 424,736.57/564.85
  6. Step 6: Final answer
    x = 751.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.