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Finding the Fourth Proportional to 598.89, 898.29 and 188.04

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Solution

The fourth proportional to 598.89, 898.29 and 188.04 is: 282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.89 : 898.29 = 188.04 : x
  2. Step 2: Convert to fraction form
    598.89/898.29 = 188.04/x
  3. Step 3: Cross multiply
    598.89x = 898.29 × 188.04
  4. Step 4: Simplify right side
    598.89x = 168,914.45
  5. Step 5: Solve for x
    x = 168,914.45/598.89
  6. Step 6: Final answer
    x = 282.05

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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.