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Finding the Fourth Proportional to 332.33, 497.03 and 296.03

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Solution

The fourth proportional to 332.33, 497.03 and 296.03 is: 442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.33 : 497.03 = 296.03 : x
  2. Step 2: Convert to fraction form
    332.33/497.03 = 296.03/x
  3. Step 3: Cross multiply
    332.33x = 497.03 × 296.03
  4. Step 4: Simplify right side
    332.33x = 147,135.79
  5. Step 5: Solve for x
    x = 147,135.79/332.33
  6. Step 6: Final answer
    x = 442.74

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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.