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Finding the Fourth Proportional to 332.44, 496.64 and 277.76

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Solution

The fourth proportional to 332.44, 496.64 and 277.76 is: 414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.44 : 496.64 = 277.76 : x
  2. Step 2: Convert to fraction form
    332.44/496.64 = 277.76/x
  3. Step 3: Cross multiply
    332.44x = 496.64 × 277.76
  4. Step 4: Simplify right side
    332.44x = 137,948.66
  5. Step 5: Solve for x
    x = 137,948.66/332.44
  6. Step 6: Final answer
    x = 414.96

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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.