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Finding the Fourth Proportional to 332.52, 497.97 and 274.38

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Solution

The fourth proportional to 332.52, 497.97 and 274.38 is: 410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.52 : 497.97 = 274.38 : x
  2. Step 2: Convert to fraction form
    332.52/497.97 = 274.38/x
  3. Step 3: Cross multiply
    332.52x = 497.97 × 274.38
  4. Step 4: Simplify right side
    332.52x = 136,633.01
  5. Step 5: Solve for x
    x = 136,633.01/332.52
  6. Step 6: Final answer
    x = 410.90

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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.