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Finding the Fourth Proportional to 598.88, 898.42 and 306.22

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Solution

The fourth proportional to 598.88, 898.42 and 306.22 is: 459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.88 : 898.42 = 306.22 : x
  2. Step 2: Convert to fraction form
    598.88/898.42 = 306.22/x
  3. Step 3: Cross multiply
    598.88x = 898.42 × 306.22
  4. Step 4: Simplify right side
    598.88x = 275,114.17
  5. Step 5: Solve for x
    x = 275,114.17/598.88
  6. Step 6: Final answer
    x = 459.38

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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.