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Finding the Fourth Proportional to 404.57, 606.34 and 258.27

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Solution

The fourth proportional to 404.57, 606.34 and 258.27 is: 387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.57 : 606.34 = 258.27 : x
  2. Step 2: Convert to fraction form
    404.57/606.34 = 258.27/x
  3. Step 3: Cross multiply
    404.57x = 606.34 × 258.27
  4. Step 4: Simplify right side
    404.57x = 156,599.43
  5. Step 5: Solve for x
    x = 156,599.43/404.57
  6. Step 6: Final answer
    x = 387.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.