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Finding the Fourth Proportional to 667.61, 1,001.72 and 256.88

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Solution

The fourth proportional to 667.61, 1,001.72 and 256.88 is: 385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.61 : 1,001.72 = 256.88 : x
  2. Step 2: Convert to fraction form
    667.61/1,001.72 = 256.88/x
  3. Step 3: Cross multiply
    667.61x = 1,001.72 × 256.88
  4. Step 4: Simplify right side
    667.61x = 257,321.83
  5. Step 5: Solve for x
    x = 257,321.83/667.61
  6. Step 6: Final answer
    x = 385.44

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1.5x scale

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.