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Finding the Fourth Proportional to 604.40, 906.46 and 257.72

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Solution

The fourth proportional to 604.40, 906.46 and 257.72 is: 386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.40 : 906.46 = 257.72 : x
  2. Step 2: Convert to fraction form
    604.40/906.46 = 257.72/x
  3. Step 3: Cross multiply
    604.40x = 906.46 × 257.72
  4. Step 4: Simplify right side
    604.40x = 233,607.69
  5. Step 5: Solve for x
    x = 233,607.69/604.40
  6. Step 6: Final answer
    x = 386.51

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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.