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Finding the Fourth Proportional to 454.71, 625.41 and 394.65

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Solution

The fourth proportional to 454.71, 625.41 and 394.65 is: 542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.71 : 625.41 = 394.65 : x
  2. Step 2: Convert to fraction form
    454.71/625.41 = 394.65/x
  3. Step 3: Cross multiply
    454.71x = 625.41 × 394.65
  4. Step 4: Simplify right side
    454.71x = 246,818.06
  5. Step 5: Solve for x
    x = 246,818.06/454.71
  6. Step 6: Final answer
    x = 542.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.