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Finding the Fourth Proportional to 310.10, 465.27 and 280.49

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Solution

The fourth proportional to 310.10, 465.27 and 280.49 is: 420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.10 : 465.27 = 280.49 : x
  2. Step 2: Convert to fraction form
    310.10/465.27 = 280.49/x
  3. Step 3: Cross multiply
    310.10x = 465.27 × 280.49
  4. Step 4: Simplify right side
    310.10x = 130,502.30
  5. Step 5: Solve for x
    x = 130,502.30/310.10
  6. Step 6: Final answer
    x = 420.83

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Why These Related Problems?

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