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Finding the Fourth Proportional to 906.31, 1,359.31 and 256.89

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Solution

The fourth proportional to 906.31, 1,359.31 and 256.89 is: 385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.31 : 1,359.31 = 256.89 : x
  2. Step 2: Convert to fraction form
    906.31/1,359.31 = 256.89/x
  3. Step 3: Cross multiply
    906.31x = 1,359.31 × 256.89
  4. Step 4: Simplify right side
    906.31x = 349,193.15
  5. Step 5: Solve for x
    x = 349,193.15/906.31
  6. Step 6: Final answer
    x = 385.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.