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Finding the Fourth Proportional to 305.70, 456.06 and 251.43

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Solution

The fourth proportional to 305.70, 456.06 and 251.43 is: 375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.70 : 456.06 = 251.43 : x
  2. Step 2: Convert to fraction form
    305.70/456.06 = 251.43/x
  3. Step 3: Cross multiply
    305.70x = 456.06 × 251.43
  4. Step 4: Simplify right side
    305.70x = 114,667.17
  5. Step 5: Solve for x
    x = 114,667.17/305.70
  6. Step 6: Final answer
    x = 375.10

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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.