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Finding the Fourth Proportional to 604.41, 906.92 and 431.58

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Solution

The fourth proportional to 604.41, 906.92 and 431.58 is: 647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.41 : 906.92 = 431.58 : x
  2. Step 2: Convert to fraction form
    604.41/906.92 = 431.58/x
  3. Step 3: Cross multiply
    604.41x = 906.92 × 431.58
  4. Step 4: Simplify right side
    604.41x = 391,401.84
  5. Step 5: Solve for x
    x = 391,401.84/604.41
  6. Step 6: Final answer
    x = 647.58

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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.