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Finding the Fourth Proportional to 317.53, 476.57 and 144.46

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Solution

The fourth proportional to 317.53, 476.57 and 144.46 is: 216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.53 : 476.57 = 144.46 : x
  2. Step 2: Convert to fraction form
    317.53/476.57 = 144.46/x
  3. Step 3: Cross multiply
    317.53x = 476.57 × 144.46
  4. Step 4: Simplify right side
    317.53x = 68,845.30
  5. Step 5: Solve for x
    x = 68,845.30/317.53
  6. Step 6: Final answer
    x = 216.82

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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.