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Finding the Fourth Proportional to 604.42, 906.74 and 257.74

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Solution

The fourth proportional to 604.42, 906.74 and 257.74 is: 386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.42 : 906.74 = 257.74 : x
  2. Step 2: Convert to fraction form
    604.42/906.74 = 257.74/x
  3. Step 3: Cross multiply
    604.42x = 906.74 × 257.74
  4. Step 4: Simplify right side
    604.42x = 233,701.88
  5. Step 5: Solve for x
    x = 233,701.88/604.42
  6. Step 6: Final answer
    x = 386.66

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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.