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Finding the Fourth Proportional to 621.23, 932.09 and 313.17

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Solution

The fourth proportional to 621.23, 932.09 and 313.17 is: 469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.23 : 932.09 = 313.17 : x
  2. Step 2: Convert to fraction form
    621.23/932.09 = 313.17/x
  3. Step 3: Cross multiply
    621.23x = 932.09 × 313.17
  4. Step 4: Simplify right side
    621.23x = 291,899.33
  5. Step 5: Solve for x
    x = 291,899.33/621.23
  6. Step 6: Final answer
    x = 469.88

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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.