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Finding the Fourth Proportional to 668.21, 1,001.65 and 257.03

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Solution

The fourth proportional to 668.21, 1,001.65 and 257.03 is: 385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.21 : 1,001.65 = 257.03 : x
  2. Step 2: Convert to fraction form
    668.21/1,001.65 = 257.03/x
  3. Step 3: Cross multiply
    668.21x = 1,001.65 × 257.03
  4. Step 4: Simplify right side
    668.21x = 257,454.10
  5. Step 5: Solve for x
    x = 257,454.10/668.21
  6. Step 6: Final answer
    x = 385.29

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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.