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Finding the Fourth Proportional to 576.99, 865.46 and 144.14

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Solution

The fourth proportional to 576.99, 865.46 and 144.14 is: 216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.99 : 865.46 = 144.14 : x
  2. Step 2: Convert to fraction form
    576.99/865.46 = 144.14/x
  3. Step 3: Cross multiply
    576.99x = 865.46 × 144.14
  4. Step 4: Simplify right side
    576.99x = 124,742.36
  5. Step 5: Solve for x
    x = 124,742.36/576.99
  6. Step 6: Final answer
    x = 216.20

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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.