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Finding the Fourth Proportional to 360.23, 496.88 and 332.89

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Solution

The fourth proportional to 360.23, 496.88 and 332.89 is: 459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.23 : 496.88 = 332.89 : x
  2. Step 2: Convert to fraction form
    360.23/496.88 = 332.89/x
  3. Step 3: Cross multiply
    360.23x = 496.88 × 332.89
  4. Step 4: Simplify right side
    360.23x = 165,406.38
  5. Step 5: Solve for x
    x = 165,406.38/360.23
  6. Step 6: Final answer
    x = 459.17

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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.