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Finding the Fourth Proportional to 565.13, 779.97 and 329.10

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Solution

The fourth proportional to 565.13, 779.97 and 329.10 is: 454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.13 : 779.97 = 329.10 : x
  2. Step 2: Convert to fraction form
    565.13/779.97 = 329.10/x
  3. Step 3: Cross multiply
    565.13x = 779.97 × 329.10
  4. Step 4: Simplify right side
    565.13x = 256,688.13
  5. Step 5: Solve for x
    x = 256,688.13/565.13
  6. Step 6: Final answer
    x = 454.21

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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.