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Finding the Fourth Proportional to 598.43, 897.78 and 290.43

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Solution

The fourth proportional to 598.43, 897.78 and 290.43 is: 435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.43 : 897.78 = 290.43 : x
  2. Step 2: Convert to fraction form
    598.43/897.78 = 290.43/x
  3. Step 3: Cross multiply
    598.43x = 897.78 × 290.43
  4. Step 4: Simplify right side
    598.43x = 260,742.25
  5. Step 5: Solve for x
    x = 260,742.25/598.43
  6. Step 6: Final answer
    x = 435.71

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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.