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Finding the Fourth Proportional to 621.63, 932.31 and 313.39

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Solution

The fourth proportional to 621.63, 932.31 and 313.39 is: 470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.63 : 932.31 = 313.39 : x
  2. Step 2: Convert to fraction form
    621.63/932.31 = 313.39/x
  3. Step 3: Cross multiply
    621.63x = 932.31 × 313.39
  4. Step 4: Simplify right side
    621.63x = 292,176.63
  5. Step 5: Solve for x
    x = 292,176.63/621.63
  6. Step 6: Final answer
    x = 470.02

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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.