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Finding the Fourth Proportional to 404.10, 557.66 and 264.30

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Solution

The fourth proportional to 404.10, 557.66 and 264.30 is: 364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.10 : 557.66 = 264.30 : x
  2. Step 2: Convert to fraction form
    404.10/557.66 = 264.30/x
  3. Step 3: Cross multiply
    404.10x = 557.66 × 264.30
  4. Step 4: Simplify right side
    404.10x = 147,389.54
  5. Step 5: Solve for x
    x = 147,389.54/404.10
  6. Step 6: Final answer
    x = 364.74

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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.