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Finding the Fourth Proportional to 565.09, 779.76 and 329.04

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Solution

The fourth proportional to 565.09, 779.76 and 329.04 is: 454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.09 : 779.76 = 329.04 : x
  2. Step 2: Convert to fraction form
    565.09/779.76 = 329.04/x
  3. Step 3: Cross multiply
    565.09x = 779.76 × 329.04
  4. Step 4: Simplify right side
    565.09x = 256,572.23
  5. Step 5: Solve for x
    x = 256,572.23/565.09
  6. Step 6: Final answer
    x = 454.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.