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Finding the Fourth Proportional to 575.34, 863.82 and 332.34

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Solution

The fourth proportional to 575.34, 863.82 and 332.34 is: 498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.34 : 863.82 = 332.34 : x
  2. Step 2: Convert to fraction form
    575.34/863.82 = 332.34/x
  3. Step 3: Cross multiply
    575.34x = 863.82 × 332.34
  4. Step 4: Simplify right side
    575.34x = 287,081.94
  5. Step 5: Solve for x
    x = 287,081.94/575.34
  6. Step 6: Final answer
    x = 498.98

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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.