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Finding the Fourth Proportional to 277.52, 414 and 234.45

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Solution

The fourth proportional to 277.52, 414 and 234.45 is: 349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.52 : 414 = 234.45 : x
  2. Step 2: Convert to fraction form
    277.52/414 = 234.45/x
  3. Step 3: Cross multiply
    277.52x = 414 × 234.45
  4. Step 4: Simplify right side
    277.52x = 97,062.30
  5. Step 5: Solve for x
    x = 97,062.30/277.52
  6. Step 6: Final answer
    x = 349.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.