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Finding the Fourth Proportional to 404.16, 606.24 and 309.12

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Solution

The fourth proportional to 404.16, 606.24 and 309.12 is: 463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.16 : 606.24 = 309.12 : x
  2. Step 2: Convert to fraction form
    404.16/606.24 = 309.12/x
  3. Step 3: Cross multiply
    404.16x = 606.24 × 309.12
  4. Step 4: Simplify right side
    404.16x = 187,400.91
  5. Step 5: Solve for x
    x = 187,400.91/404.16
  6. Step 6: Final answer
    x = 463.68

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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.