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Finding the Fourth Proportional to 464.94, 696.33 and 412.83

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Solution

The fourth proportional to 464.94, 696.33 and 412.83 is: 618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.94 : 696.33 = 412.83 : x
  2. Step 2: Convert to fraction form
    464.94/696.33 = 412.83/x
  3. Step 3: Cross multiply
    464.94x = 696.33 × 412.83
  4. Step 4: Simplify right side
    464.94x = 287,465.91
  5. Step 5: Solve for x
    x = 287,465.91/464.94
  6. Step 6: Final answer
    x = 618.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.