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Finding the Fourth Proportional to 598.14, 898.20 and 451.89

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Solution

The fourth proportional to 598.14, 898.20 and 451.89 is: 678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.14 : 898.20 = 451.89 : x
  2. Step 2: Convert to fraction form
    598.14/898.20 = 451.89/x
  3. Step 3: Cross multiply
    598.14x = 898.20 × 451.89
  4. Step 4: Simplify right side
    598.14x = 405,887.60
  5. Step 5: Solve for x
    x = 405,887.60/598.14
  6. Step 6: Final answer
    x = 678.58

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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.