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Finding the Fourth Proportional to 517.28, 776.42 and 322.65

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Solution

The fourth proportional to 517.28, 776.42 and 322.65 is: 484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.28 : 776.42 = 322.65 : x
  2. Step 2: Convert to fraction form
    517.28/776.42 = 322.65/x
  3. Step 3: Cross multiply
    517.28x = 776.42 × 322.65
  4. Step 4: Simplify right side
    517.28x = 250,510.30
  5. Step 5: Solve for x
    x = 250,510.30/517.28
  6. Step 6: Final answer
    x = 484.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.