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Finding the Fourth Proportional to 565.87, 780.85 and 329.96

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Solution

The fourth proportional to 565.87, 780.85 and 329.96 is: 455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.87 : 780.85 = 329.96 : x
  2. Step 2: Convert to fraction form
    565.87/780.85 = 329.96/x
  3. Step 3: Cross multiply
    565.87x = 780.85 × 329.96
  4. Step 4: Simplify right side
    565.87x = 257,649.27
  5. Step 5: Solve for x
    x = 257,649.27/565.87
  6. Step 6: Final answer
    x = 455.32

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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.