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Finding the Fourth Proportional to 565.91, 780.82 and 329.84

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Solution

The fourth proportional to 565.91, 780.82 and 329.84 is: 455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.91 : 780.82 = 329.84 : x
  2. Step 2: Convert to fraction form
    565.91/780.82 = 329.84/x
  3. Step 3: Cross multiply
    565.91x = 780.82 × 329.84
  4. Step 4: Simplify right side
    565.91x = 257,546.80
  5. Step 5: Solve for x
    x = 257,546.80/565.91
  6. Step 6: Final answer
    x = 455.10

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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.