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Finding the Fourth Proportional to 486.11, 727.90 and 404.71

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Solution

The fourth proportional to 486.11, 727.90 and 404.71 is: 606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.11 : 727.90 = 404.71 : x
  2. Step 2: Convert to fraction form
    486.11/727.90 = 404.71/x
  3. Step 3: Cross multiply
    486.11x = 727.90 × 404.71
  4. Step 4: Simplify right side
    486.11x = 294,588.41
  5. Step 5: Solve for x
    x = 294,588.41/486.11
  6. Step 6: Final answer
    x = 606.01

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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.