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Finding the Fourth Proportional to 398.82, 597.68 and 206.58

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Solution

The fourth proportional to 398.82, 597.68 and 206.58 is: 309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.82 : 597.68 = 206.58 : x
  2. Step 2: Convert to fraction form
    398.82/597.68 = 206.58/x
  3. Step 3: Cross multiply
    398.82x = 597.68 × 206.58
  4. Step 4: Simplify right side
    398.82x = 123,465.75
  5. Step 5: Solve for x
    x = 123,465.75/398.82
  6. Step 6: Final answer
    x = 309.58

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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.