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Finding the Fourth Proportional to 404.15, 557.60 and 264.38

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Solution

The fourth proportional to 404.15, 557.60 and 264.38 is: 364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.15 : 557.60 = 264.38 : x
  2. Step 2: Convert to fraction form
    404.15/557.60 = 264.38/x
  3. Step 3: Cross multiply
    404.15x = 557.60 × 264.38
  4. Step 4: Simplify right side
    404.15x = 147,414.18
  5. Step 5: Solve for x
    x = 147,414.18/404.15
  6. Step 6: Final answer
    x = 364.76

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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.