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Finding the Fourth Proportional to 332.26, 497.52 and 283.38

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Solution

The fourth proportional to 332.26, 497.52 and 283.38 is: 424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.26 : 497.52 = 283.38 : x
  2. Step 2: Convert to fraction form
    332.26/497.52 = 283.38/x
  3. Step 3: Cross multiply
    332.26x = 497.52 × 283.38
  4. Step 4: Simplify right side
    332.26x = 140,987.22
  5. Step 5: Solve for x
    x = 140,987.22/332.26
  6. Step 6: Final answer
    x = 424.33

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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.