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Finding the Fourth Proportional to 898.28, 1,347.46 and 321.56

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Solution

The fourth proportional to 898.28, 1,347.46 and 321.56 is: 482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.28 : 1,347.46 = 321.56 : x
  2. Step 2: Convert to fraction form
    898.28/1,347.46 = 321.56/x
  3. Step 3: Cross multiply
    898.28x = 1,347.46 × 321.56
  4. Step 4: Simplify right side
    898.28x = 433,289.24
  5. Step 5: Solve for x
    x = 433,289.24/898.28
  6. Step 6: Final answer
    x = 482.35

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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.