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Finding the Fourth Proportional to 898.84, 1,348.08 and 321.60

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Solution

The fourth proportional to 898.84, 1,348.08 and 321.60 is: 482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.84 : 1,348.08 = 321.60 : x
  2. Step 2: Convert to fraction form
    898.84/1,348.08 = 321.60/x
  3. Step 3: Cross multiply
    898.84x = 1,348.08 × 321.60
  4. Step 4: Simplify right side
    898.84x = 433,542.53
  5. Step 5: Solve for x
    x = 433,542.53/898.84
  6. Step 6: Final answer
    x = 482.34

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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.