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Finding the Fourth Proportional to 320.94, 478.89 and 301.35

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Solution

The fourth proportional to 320.94, 478.89 and 301.35 is: 449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.94 : 478.89 = 301.35 : x
  2. Step 2: Convert to fraction form
    320.94/478.89 = 301.35/x
  3. Step 3: Cross multiply
    320.94x = 478.89 × 301.35
  4. Step 4: Simplify right side
    320.94x = 144,310.58
  5. Step 5: Solve for x
    x = 144,310.58/320.94
  6. Step 6: Final answer
    x = 449.65

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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.