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Finding the Fourth Proportional to 462.90, 638.90 and 294.74

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Solution

The fourth proportional to 462.90, 638.90 and 294.74 is: 406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.90 : 638.90 = 294.74 : x
  2. Step 2: Convert to fraction form
    462.90/638.90 = 294.74/x
  3. Step 3: Cross multiply
    462.90x = 638.90 × 294.74
  4. Step 4: Simplify right side
    462.90x = 188,309.51
  5. Step 5: Solve for x
    x = 188,309.51/462.90
  6. Step 6: Final answer
    x = 406.80

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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.