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Finding the Fourth Proportional to 565.91, 780.96 and 317.25

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Solution

The fourth proportional to 565.91, 780.96 and 317.25 is: 437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.91 : 780.96 = 317.25 : x
  2. Step 2: Convert to fraction form
    565.91/780.96 = 317.25/x
  3. Step 3: Cross multiply
    565.91x = 780.96 × 317.25
  4. Step 4: Simplify right side
    565.91x = 247,759.56
  5. Step 5: Solve for x
    x = 247,759.56/565.91
  6. Step 6: Final answer
    x = 437.81

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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.