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Finding the Fourth Proportional to 906.06, 1,359.20 and 358.28

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Solution

The fourth proportional to 906.06, 1,359.20 and 358.28 is: 537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.06 : 1,359.20 = 358.28 : x
  2. Step 2: Convert to fraction form
    906.06/1,359.20 = 358.28/x
  3. Step 3: Cross multiply
    906.06x = 1,359.20 × 358.28
  4. Step 4: Simplify right side
    906.06x = 486,974.18
  5. Step 5: Solve for x
    x = 486,974.18/906.06
  6. Step 6: Final answer
    x = 537.46

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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.