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Finding the Fourth Proportional to 589.15, 883.42 and 199.01

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Solution

The fourth proportional to 589.15, 883.42 and 199.01 is: 298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.15 : 883.42 = 199.01 : x
  2. Step 2: Convert to fraction form
    589.15/883.42 = 199.01/x
  3. Step 3: Cross multiply
    589.15x = 883.42 × 199.01
  4. Step 4: Simplify right side
    589.15x = 175,809.41
  5. Step 5: Solve for x
    x = 175,809.41/589.15
  6. Step 6: Final answer
    x = 298.41

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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.