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Finding the Fourth Proportional to 565.52, 843.88 and 504.23

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Solution

The fourth proportional to 565.52, 843.88 and 504.23 is: 752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.52 : 843.88 = 504.23 : x
  2. Step 2: Convert to fraction form
    565.52/843.88 = 504.23/x
  3. Step 3: Cross multiply
    565.52x = 843.88 × 504.23
  4. Step 4: Simplify right side
    565.52x = 425,507.09
  5. Step 5: Solve for x
    x = 425,507.09/565.52
  6. Step 6: Final answer
    x = 752.42

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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.