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Finding the Fourth Proportional to 404.35, 606.40 and 257.89

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Solution

The fourth proportional to 404.35, 606.40 and 257.89 is: 386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.35 : 606.40 = 257.89 : x
  2. Step 2: Convert to fraction form
    404.35/606.40 = 257.89/x
  3. Step 3: Cross multiply
    404.35x = 606.40 × 257.89
  4. Step 4: Simplify right side
    404.35x = 156,384.50
  5. Step 5: Solve for x
    x = 156,384.50/404.35
  6. Step 6: Final answer
    x = 386.76

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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.