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Finding the Fourth Proportional to 576.48, 864.03 and 332.50

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Solution

The fourth proportional to 576.48, 864.03 and 332.50 is: 498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.48 : 864.03 = 332.50 : x
  2. Step 2: Convert to fraction form
    576.48/864.03 = 332.50/x
  3. Step 3: Cross multiply
    576.48x = 864.03 × 332.50
  4. Step 4: Simplify right side
    576.48x = 287,289.98
  5. Step 5: Solve for x
    x = 287,289.98/576.48
  6. Step 6: Final answer
    x = 498.35

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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.