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Finding the Fourth Proportional to 565.30, 780.02 and 329.27

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Solution

The fourth proportional to 565.30, 780.02 and 329.27 is: 454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.30 : 780.02 = 329.27 : x
  2. Step 2: Convert to fraction form
    565.30/780.02 = 329.27/x
  3. Step 3: Cross multiply
    565.30x = 780.02 × 329.27
  4. Step 4: Simplify right side
    565.30x = 256,832.87
  5. Step 5: Solve for x
    x = 256,832.87/565.30
  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.