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Finding the Fourth Proportional to 898.71, 1,348.70 and 321.59

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Solution

The fourth proportional to 898.71, 1,348.70 and 321.59 is: 482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.71 : 1,348.70 = 321.59 : x
  2. Step 2: Convert to fraction form
    898.71/1,348.70 = 321.59/x
  3. Step 3: Cross multiply
    898.71x = 1,348.70 × 321.59
  4. Step 4: Simplify right side
    898.71x = 433,720.08
  5. Step 5: Solve for x
    x = 433,720.08/898.71
  6. Step 6: Final answer
    x = 482.60

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Why These Related Problems?

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