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Finding the Fourth Proportional to 906.17, 1,359.36 and 256.94

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Solution

The fourth proportional to 906.17, 1,359.36 and 256.94 is: 385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.17 : 1,359.36 = 256.94 : x
  2. Step 2: Convert to fraction form
    906.17/1,359.36 = 256.94/x
  3. Step 3: Cross multiply
    906.17x = 1,359.36 × 256.94
  4. Step 4: Simplify right side
    906.17x = 349,273.96
  5. Step 5: Solve for x
    x = 349,273.96/906.17
  6. Step 6: Final answer
    x = 385.44

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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.