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Finding the Fourth Proportional to 621.93, 932.13 and 313.86

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Solution

The fourth proportional to 621.93, 932.13 and 313.86 is: 470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.93 : 932.13 = 313.86 : x
  2. Step 2: Convert to fraction form
    621.93/932.13 = 313.86/x
  3. Step 3: Cross multiply
    621.93x = 932.13 × 313.86
  4. Step 4: Simplify right side
    621.93x = 292,558.32
  5. Step 5: Solve for x
    x = 292,558.32/621.93
  6. Step 6: Final answer
    x = 470.40

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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.