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Finding the Fourth Proportional to 464.45, 699.42 and 404.30

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Solution

The fourth proportional to 464.45, 699.42 and 404.30 is: 608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.45 : 699.42 = 404.30 : x
  2. Step 2: Convert to fraction form
    464.45/699.42 = 404.30/x
  3. Step 3: Cross multiply
    464.45x = 699.42 × 404.30
  4. Step 4: Simplify right side
    464.45x = 282,777.25
  5. Step 5: Solve for x
    x = 282,777.25/464.45
  6. Step 6: Final answer
    x = 608.85

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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.