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Finding the Fourth Proportional to 668.35, 1,002.52 and 257.48

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Solution

The fourth proportional to 668.35, 1,002.52 and 257.48 is: 386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.35 : 1,002.52 = 257.48 : x
  2. Step 2: Convert to fraction form
    668.35/1,002.52 = 257.48/x
  3. Step 3: Cross multiply
    668.35x = 1,002.52 × 257.48
  4. Step 4: Simplify right side
    668.35x = 258,123.84
  5. Step 5: Solve for x
    x = 258,123.84/668.35
  6. Step 6: Final answer
    x = 386.21

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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.