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Finding the Fourth Proportional to 332.18, 497.46 and 322.46

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Solution

The fourth proportional to 332.18, 497.46 and 322.46 is: 482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.18 : 497.46 = 322.46 : x
  2. Step 2: Convert to fraction form
    332.18/497.46 = 322.46/x
  3. Step 3: Cross multiply
    332.18x = 497.46 × 322.46
  4. Step 4: Simplify right side
    332.18x = 160,409.73
  5. Step 5: Solve for x
    x = 160,409.73/332.18
  6. Step 6: Final answer
    x = 482.90

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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.