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Finding the Fourth Proportional to 349.14, 524.25 and 277.59

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Solution

The fourth proportional to 349.14, 524.25 and 277.59 is: 416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.14 : 524.25 = 277.59 : x
  2. Step 2: Convert to fraction form
    349.14/524.25 = 277.59/x
  3. Step 3: Cross multiply
    349.14x = 524.25 × 277.59
  4. Step 4: Simplify right side
    349.14x = 145,526.56
  5. Step 5: Solve for x
    x = 145,526.56/349.14
  6. Step 6: Final answer
    x = 416.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.