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Finding the Fourth Proportional to 404.21, 557.66 and 264.40

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Solution

The fourth proportional to 404.21, 557.66 and 264.40 is: 364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.21 : 557.66 = 264.40 : x
  2. Step 2: Convert to fraction form
    404.21/557.66 = 264.40/x
  3. Step 3: Cross multiply
    404.21x = 557.66 × 264.40
  4. Step 4: Simplify right side
    404.21x = 147,446.04
  5. Step 5: Solve for x
    x = 147,446.04/404.21
  6. Step 6: Final answer
    x = 364.78

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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.