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Finding the Fourth Proportional to 462.99, 638.56 and 297.22

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Solution

The fourth proportional to 462.99, 638.56 and 297.22 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.99 : 638.56 = 297.22 : x
  2. Step 2: Convert to fraction form
    462.99/638.56 = 297.22/x
  3. Step 3: Cross multiply
    462.99x = 638.56 × 297.22
  4. Step 4: Simplify right side
    462.99x = 189,791.94
  5. Step 5: Solve for x
    x = 189,791.94/462.99
  6. Step 6: Final answer
    x = 409.93

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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.