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Finding the Fourth Proportional to 320.62, 478.88 and 277.42

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Solution

The fourth proportional to 320.62, 478.88 and 277.42 is: 414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.62 : 478.88 = 277.42 : x
  2. Step 2: Convert to fraction form
    320.62/478.88 = 277.42/x
  3. Step 3: Cross multiply
    320.62x = 478.88 × 277.42
  4. Step 4: Simplify right side
    320.62x = 132,850.89
  5. Step 5: Solve for x
    x = 132,850.89/320.62
  6. Step 6: Final answer
    x = 414.36

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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.