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Finding the Fourth Proportional to 307.42, 459.13 and 252.70

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Solution

The fourth proportional to 307.42, 459.13 and 252.70 is: 377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.42 : 459.13 = 252.70 : x
  2. Step 2: Convert to fraction form
    307.42/459.13 = 252.70/x
  3. Step 3: Cross multiply
    307.42x = 459.13 × 252.70
  4. Step 4: Simplify right side
    307.42x = 116,022.15
  5. Step 5: Solve for x
    x = 116,022.15/307.42
  6. Step 6: Final answer
    x = 377.41

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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.