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Finding the Fourth Proportional to 439.84, 660.32 and 278.20

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Solution

The fourth proportional to 439.84, 660.32 and 278.20 is: 417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.84 : 660.32 = 278.20 : x
  2. Step 2: Convert to fraction form
    439.84/660.32 = 278.20/x
  3. Step 3: Cross multiply
    439.84x = 660.32 × 278.20
  4. Step 4: Simplify right side
    439.84x = 183,701.02
  5. Step 5: Solve for x
    x = 183,701.02/439.84
  6. Step 6: Final answer
    x = 417.65

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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.