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Finding the Fourth Proportional to 332.05, 497.29 and 279.75

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Solution

The fourth proportional to 332.05, 497.29 and 279.75 is: 418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.05 : 497.29 = 279.75 : x
  2. Step 2: Convert to fraction form
    332.05/497.29 = 279.75/x
  3. Step 3: Cross multiply
    332.05x = 497.29 × 279.75
  4. Step 4: Simplify right side
    332.05x = 139,116.88
  5. Step 5: Solve for x
    x = 139,116.88/332.05
  6. Step 6: Final answer
    x = 418.96

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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.