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Finding the Fourth Proportional to 663.48, 995.58 and 278.64

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Solution

The fourth proportional to 663.48, 995.58 and 278.64 is: 418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.48 : 995.58 = 278.64 : x
  2. Step 2: Convert to fraction form
    663.48/995.58 = 278.64/x
  3. Step 3: Cross multiply
    663.48x = 995.58 × 278.64
  4. Step 4: Simplify right side
    663.48x = 277,408.41
  5. Step 5: Solve for x
    x = 277,408.41/663.48
  6. Step 6: Final answer
    x = 418.11

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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.