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Finding the Fourth Proportional to 398.78, 598.08 and 290.62

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Solution

The fourth proportional to 398.78, 598.08 and 290.62 is: 435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.78 : 598.08 = 290.62 : x
  2. Step 2: Convert to fraction form
    398.78/598.08 = 290.62/x
  3. Step 3: Cross multiply
    398.78x = 598.08 × 290.62
  4. Step 4: Simplify right side
    398.78x = 173,814.01
  5. Step 5: Solve for x
    x = 173,814.01/398.78
  6. Step 6: Final answer
    x = 435.86

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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.