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Finding the Fourth Proportional to 598.68, 897.19 and 334.90

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Solution

The fourth proportional to 598.68, 897.19 and 334.90 is: 501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.68 : 897.19 = 334.90 : x
  2. Step 2: Convert to fraction form
    598.68/897.19 = 334.90/x
  3. Step 3: Cross multiply
    598.68x = 897.19 × 334.90
  4. Step 4: Simplify right side
    598.68x = 300,464.80
  5. Step 5: Solve for x
    x = 300,464.80/598.68
  6. Step 6: Final answer
    x = 501.88

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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.