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Finding the Fourth Proportional to 901.88, 1,353.30 and 388.92

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Solution

The fourth proportional to 901.88, 1,353.30 and 388.92 is: 583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.88 : 1,353.30 = 388.92 : x
  2. Step 2: Convert to fraction form
    901.88/1,353.30 = 388.92/x
  3. Step 3: Cross multiply
    901.88x = 1,353.30 × 388.92
  4. Step 4: Simplify right side
    901.88x = 526,325.44
  5. Step 5: Solve for x
    x = 526,325.44/901.88
  6. Step 6: Final answer
    x = 583.59

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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.