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Finding the Fourth Proportional to 360.48, 496.98 and 332.66

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Solution

The fourth proportional to 360.48, 496.98 and 332.66 is: 458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.48 : 496.98 = 332.66 : x
  2. Step 2: Convert to fraction form
    360.48/496.98 = 332.66/x
  3. Step 3: Cross multiply
    360.48x = 496.98 × 332.66
  4. Step 4: Simplify right side
    360.48x = 165,325.37
  5. Step 5: Solve for x
    x = 165,325.37/360.48
  6. Step 6: Final answer
    x = 458.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.