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Finding the Fourth Proportional to 576.88, 864.08 and 423.06

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Solution

The fourth proportional to 576.88, 864.08 and 423.06 is: 633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.88 : 864.08 = 423.06 : x
  2. Step 2: Convert to fraction form
    576.88/864.08 = 423.06/x
  3. Step 3: Cross multiply
    576.88x = 864.08 × 423.06
  4. Step 4: Simplify right side
    576.88x = 365,557.68
  5. Step 5: Solve for x
    x = 365,557.68/576.88
  6. Step 6: Final answer
    x = 633.68

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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.