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Finding the Fourth Proportional to 404.77, 606.45 and 322.15

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Solution

The fourth proportional to 404.77, 606.45 and 322.15 is: 482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.77 : 606.45 = 322.15 : x
  2. Step 2: Convert to fraction form
    404.77/606.45 = 322.15/x
  3. Step 3: Cross multiply
    404.77x = 606.45 × 322.15
  4. Step 4: Simplify right side
    404.77x = 195,367.87
  5. Step 5: Solve for x
    x = 195,367.87/404.77
  6. Step 6: Final answer
    x = 482.66

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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.