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Finding the Fourth Proportional to 307.38, 458.70 and 274.53

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Solution

The fourth proportional to 307.38, 458.70 and 274.53 is: 409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.38 : 458.70 = 274.53 : x
  2. Step 2: Convert to fraction form
    307.38/458.70 = 274.53/x
  3. Step 3: Cross multiply
    307.38x = 458.70 × 274.53
  4. Step 4: Simplify right side
    307.38x = 125,928.63
  5. Step 5: Solve for x
    x = 125,928.63/307.38
  6. Step 6: Final answer
    x = 409.68

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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.