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Finding the Fourth Proportional to 332.33, 497.82 and 292.24

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Solution

The fourth proportional to 332.33, 497.82 and 292.24 is: 437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.33 : 497.82 = 292.24 : x
  2. Step 2: Convert to fraction form
    332.33/497.82 = 292.24/x
  3. Step 3: Cross multiply
    332.33x = 497.82 × 292.24
  4. Step 4: Simplify right side
    332.33x = 145,480.43
  5. Step 5: Solve for x
    x = 145,480.43/332.33
  6. Step 6: Final answer
    x = 437.76

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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.