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Finding the Fourth Proportional to 321.98, 479.66 and 306.50

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Solution

The fourth proportional to 321.98, 479.66 and 306.50 is: 456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.98 : 479.66 = 306.50 : x
  2. Step 2: Convert to fraction form
    321.98/479.66 = 306.50/x
  3. Step 3: Cross multiply
    321.98x = 479.66 × 306.50
  4. Step 4: Simplify right side
    321.98x = 147,015.79
  5. Step 5: Solve for x
    x = 147,015.79/321.98
  6. Step 6: Final answer
    x = 456.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.