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Finding the Fourth Proportional to 598.75, 898.25 and 290.82

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Solution

The fourth proportional to 598.75, 898.25 and 290.82 is: 436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.75 : 898.25 = 290.82 : x
  2. Step 2: Convert to fraction form
    598.75/898.25 = 290.82/x
  3. Step 3: Cross multiply
    598.75x = 898.25 × 290.82
  4. Step 4: Simplify right side
    598.75x = 261,229.07
  5. Step 5: Solve for x
    x = 261,229.07/598.75
  6. Step 6: Final answer
    x = 436.29

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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.