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Finding the Fourth Proportional to 360.10, 496.48 and 332.29

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Solution

The fourth proportional to 360.10, 496.48 and 332.29 is: 458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.10 : 496.48 = 332.29 : x
  2. Step 2: Convert to fraction form
    360.10/496.48 = 332.29/x
  3. Step 3: Cross multiply
    360.10x = 496.48 × 332.29
  4. Step 4: Simplify right side
    360.10x = 164,975.34
  5. Step 5: Solve for x
    x = 164,975.34/360.10
  6. Step 6: Final answer
    x = 458.14

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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.