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Finding the Fourth Proportional to 625.76, 938.77 and 313.57

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Solution

The fourth proportional to 625.76, 938.77 and 313.57 is: 470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.76 : 938.77 = 313.57 : x
  2. Step 2: Convert to fraction form
    625.76/938.77 = 313.57/x
  3. Step 3: Cross multiply
    625.76x = 938.77 × 313.57
  4. Step 4: Simplify right side
    625.76x = 294,370.11
  5. Step 5: Solve for x
    x = 294,370.11/625.76
  6. Step 6: Final answer
    x = 470.42

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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.