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Finding the Fourth Proportional to 404.09, 557.65 and 246.71

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Solution

The fourth proportional to 404.09, 557.65 and 246.71 is: 340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.09 : 557.65 = 246.71 : x
  2. Step 2: Convert to fraction form
    404.09/557.65 = 246.71/x
  3. Step 3: Cross multiply
    404.09x = 557.65 × 246.71
  4. Step 4: Simplify right side
    404.09x = 137,575.04
  5. Step 5: Solve for x
    x = 137,575.04/404.09
  6. Step 6: Final answer
    x = 340.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.