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Finding the Fourth Proportional to 898.99, 1,348.52 and 321.86

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Solution

The fourth proportional to 898.99, 1,348.52 and 321.86 is: 482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.99 : 1,348.52 = 321.86 : x
  2. Step 2: Convert to fraction form
    898.99/1,348.52 = 321.86/x
  3. Step 3: Cross multiply
    898.99x = 1,348.52 × 321.86
  4. Step 4: Simplify right side
    898.99x = 434,036.41
  5. Step 5: Solve for x
    x = 434,036.41/898.99
  6. Step 6: Final answer
    x = 482.81

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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.