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Finding the Fourth Proportional to 387.10, 580.45 and 313.78

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Solution

The fourth proportional to 387.10, 580.45 and 313.78 is: 470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.10 : 580.45 = 313.78 : x
  2. Step 2: Convert to fraction form
    387.10/580.45 = 313.78/x
  3. Step 3: Cross multiply
    387.10x = 580.45 × 313.78
  4. Step 4: Simplify right side
    387.10x = 182,133.60
  5. Step 5: Solve for x
    x = 182,133.60/387.10
  6. Step 6: Final answer
    x = 470.51

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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.