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Finding the Fourth Proportional to 321.24, 478.55 and 301.32

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Solution

The fourth proportional to 321.24, 478.55 and 301.32 is: 448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.24 : 478.55 = 301.32 : x
  2. Step 2: Convert to fraction form
    321.24/478.55 = 301.32/x
  3. Step 3: Cross multiply
    321.24x = 478.55 × 301.32
  4. Step 4: Simplify right side
    321.24x = 144,195.18
  5. Step 5: Solve for x
    x = 144,195.18/321.24
  6. Step 6: Final answer
    x = 448.87

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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.