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Finding the Fourth Proportional to 668.07, 1,002.06 and 257.01

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Solution

The fourth proportional to 668.07, 1,002.06 and 257.01 is: 385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.07 : 1,002.06 = 257.01 : x
  2. Step 2: Convert to fraction form
    668.07/1,002.06 = 257.01/x
  3. Step 3: Cross multiply
    668.07x = 1,002.06 × 257.01
  4. Step 4: Simplify right side
    668.07x = 257,539.44
  5. Step 5: Solve for x
    x = 257,539.44/668.07
  6. Step 6: Final answer
    x = 385.50

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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.