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Finding the Fourth Proportional to 332.19, 497.34 and 216.77

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Solution

The fourth proportional to 332.19, 497.34 and 216.77 is: 324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.19 : 497.34 = 216.77 : x
  2. Step 2: Convert to fraction form
    332.19/497.34 = 216.77/x
  3. Step 3: Cross multiply
    332.19x = 497.34 × 216.77
  4. Step 4: Simplify right side
    332.19x = 107,805.91
  5. Step 5: Solve for x
    x = 107,805.91/332.19
  6. Step 6: Final answer
    x = 324.53

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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.