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Finding the Fourth Proportional to 565.25, 780.05 and 329.22

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Solution

The fourth proportional to 565.25, 780.05 and 329.22 is: 454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.25 : 780.05 = 329.22 : x
  2. Step 2: Convert to fraction form
    565.25/780.05 = 329.22/x
  3. Step 3: Cross multiply
    565.25x = 780.05 × 329.22
  4. Step 4: Simplify right side
    565.25x = 256,806.41
  5. Step 5: Solve for x
    x = 256,806.41/565.25
  6. Step 6: Final answer
    x = 454.33

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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.