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Finding the Fourth Proportional to 464.26, 699.14 and 404.12

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Solution

The fourth proportional to 464.26, 699.14 and 404.12 is: 608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.26 : 699.14 = 404.12 : x
  2. Step 2: Convert to fraction form
    464.26/699.14 = 404.12/x
  3. Step 3: Cross multiply
    464.26x = 699.14 × 404.12
  4. Step 4: Simplify right side
    464.26x = 282,530.94
  5. Step 5: Solve for x
    x = 282,530.94/464.26
  6. Step 6: Final answer
    x = 608.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.