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Finding the Fourth Proportional to 906.37, 1,359.54 and 257.05

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Solution

The fourth proportional to 906.37, 1,359.54 and 257.05 is: 385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.37 : 1,359.54 = 257.05 : x
  2. Step 2: Convert to fraction form
    906.37/1,359.54 = 257.05/x
  3. Step 3: Cross multiply
    906.37x = 1,359.54 × 257.05
  4. Step 4: Simplify right side
    906.37x = 349,469.76
  5. Step 5: Solve for x
    x = 349,469.76/906.37
  6. Step 6: Final answer
    x = 385.57

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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.