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Finding the Fourth Proportional to 576.69, 864.32 and 288.21

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Solution

The fourth proportional to 576.69, 864.32 and 288.21 is: 431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.69 : 864.32 = 288.21 : x
  2. Step 2: Convert to fraction form
    576.69/864.32 = 288.21/x
  3. Step 3: Cross multiply
    576.69x = 864.32 × 288.21
  4. Step 4: Simplify right side
    576.69x = 249,104.23
  5. Step 5: Solve for x
    x = 249,104.23/576.69
  6. Step 6: Final answer
    x = 431.96

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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.