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Finding the Fourth Proportional to 598.86, 898.29 and 214.14

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Solution

The fourth proportional to 598.86, 898.29 and 214.14 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.86 : 898.29 = 214.14 : x
  2. Step 2: Convert to fraction form
    598.86/898.29 = 214.14/x
  3. Step 3: Cross multiply
    598.86x = 898.29 × 214.14
  4. Step 4: Simplify right side
    598.86x = 192,359.82
  5. Step 5: Solve for x
    x = 192,359.82/598.86
  6. Step 6: Final answer
    x = 321.21

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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.