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Finding the Fourth Proportional to 332.12, 497.67 and 297.69

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Solution

The fourth proportional to 332.12, 497.67 and 297.69 is: 446.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.12 : 497.67 = 297.69 : x
  2. Step 2: Convert to fraction form
    332.12/497.67 = 297.69/x
  3. Step 3: Cross multiply
    332.12x = 497.67 × 297.69
  4. Step 4: Simplify right side
    332.12x = 148,151.38
  5. Step 5: Solve for x
    x = 148,151.38/332.12
  6. Step 6: Final answer
    x = 446.08

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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.