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Finding the Fourth Proportional to 576.69, 865.04 and 143.85

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Solution

The fourth proportional to 576.69, 865.04 and 143.85 is: 215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.69 : 865.04 = 143.85 : x
  2. Step 2: Convert to fraction form
    576.69/865.04 = 143.85/x
  3. Step 3: Cross multiply
    576.69x = 865.04 × 143.85
  4. Step 4: Simplify right side
    576.69x = 124,430.96
  5. Step 5: Solve for x
    x = 124,430.96/576.69
  6. Step 6: Final answer
    x = 215.77

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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.