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Finding the Fourth Proportional to 404.70, 607.05 and 209.43

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Solution

The fourth proportional to 404.70, 607.05 and 209.43 is: 314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.70 : 607.05 = 209.43 : x
  2. Step 2: Convert to fraction form
    404.70/607.05 = 209.43/x
  3. Step 3: Cross multiply
    404.70x = 607.05 × 209.43
  4. Step 4: Simplify right side
    404.70x = 127,134.48
  5. Step 5: Solve for x
    x = 127,134.48/404.70
  6. Step 6: Final answer
    x = 314.15

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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.