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Finding the Fourth Proportional to 565.49, 780.25 and 329.36

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Solution

The fourth proportional to 565.49, 780.25 and 329.36 is: 454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.49 : 780.25 = 329.36 : x
  2. Step 2: Convert to fraction form
    565.49/780.25 = 329.36/x
  3. Step 3: Cross multiply
    565.49x = 780.25 × 329.36
  4. Step 4: Simplify right side
    565.49x = 256,983.14
  5. Step 5: Solve for x
    x = 256,983.14/565.49
  6. Step 6: Final answer
    x = 454.44

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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.