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Finding the Fourth Proportional to 462.88, 638.60 and 297.07

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Solution

The fourth proportional to 462.88, 638.60 and 297.07 is: 409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.88 : 638.60 = 297.07 : x
  2. Step 2: Convert to fraction form
    462.88/638.60 = 297.07/x
  3. Step 3: Cross multiply
    462.88x = 638.60 × 297.07
  4. Step 4: Simplify right side
    462.88x = 189,708.90
  5. Step 5: Solve for x
    x = 189,708.90/462.88
  6. Step 6: Final answer
    x = 409.84

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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.