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Finding the Fourth Proportional to 565.99, 781.05 and 329.99

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Solution

The fourth proportional to 565.99, 781.05 and 329.99 is: 455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.99 : 781.05 = 329.99 : x
  2. Step 2: Convert to fraction form
    565.99/781.05 = 329.99/x
  3. Step 3: Cross multiply
    565.99x = 781.05 × 329.99
  4. Step 4: Simplify right side
    565.99x = 257,738.69
  5. Step 5: Solve for x
    x = 257,738.69/565.99
  6. Step 6: Final answer
    x = 455.38

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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.