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Finding the Fourth Proportional to 398.99, 598.13 and 193.76

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Solution

The fourth proportional to 398.99, 598.13 and 193.76 is: 290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.99 : 598.13 = 193.76 : x
  2. Step 2: Convert to fraction form
    398.99/598.13 = 193.76/x
  3. Step 3: Cross multiply
    398.99x = 598.13 × 193.76
  4. Step 4: Simplify right side
    398.99x = 115,889.71
  5. Step 5: Solve for x
    x = 115,889.71/398.99
  6. Step 6: Final answer
    x = 290.46

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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.