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Finding the Fourth Proportional to 477.65, 716.49 and 169.53

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Solution

The fourth proportional to 477.65, 716.49 and 169.53 is: 254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.65 : 716.49 = 169.53 : x
  2. Step 2: Convert to fraction form
    477.65/716.49 = 169.53/x
  3. Step 3: Cross multiply
    477.65x = 716.49 × 169.53
  4. Step 4: Simplify right side
    477.65x = 121,465.70
  5. Step 5: Solve for x
    x = 121,465.70/477.65
  6. Step 6: Final answer
    x = 254.30

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