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Finding the Fourth Proportional to 598.78, 898.29 and 214.02

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Solution

The fourth proportional to 598.78, 898.29 and 214.02 is: 321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.78 : 898.29 = 214.02 : x
  2. Step 2: Convert to fraction form
    598.78/898.29 = 214.02/x
  3. Step 3: Cross multiply
    598.78x = 898.29 × 214.02
  4. Step 4: Simplify right side
    598.78x = 192,252.03
  5. Step 5: Solve for x
    x = 192,252.03/598.78
  6. Step 6: Final answer
    x = 321.07

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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.