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Finding the Fourth Proportional to 298.12, 446.08 and 278.80

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Solution

The fourth proportional to 298.12, 446.08 and 278.80 is: 417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.12 : 446.08 = 278.80 : x
  2. Step 2: Convert to fraction form
    298.12/446.08 = 278.80/x
  3. Step 3: Cross multiply
    298.12x = 446.08 × 278.80
  4. Step 4: Simplify right side
    298.12x = 124,367.10
  5. Step 5: Solve for x
    x = 124,367.10/298.12
  6. Step 6: Final answer
    x = 417.17

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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.