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Finding the Fourth Proportional to 467.25, 696.75 and 433.77

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Solution

The fourth proportional to 467.25, 696.75 and 433.77 is: 646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.25 : 696.75 = 433.77 : x
  2. Step 2: Convert to fraction form
    467.25/696.75 = 433.77/x
  3. Step 3: Cross multiply
    467.25x = 696.75 × 433.77
  4. Step 4: Simplify right side
    467.25x = 302,229.25
  5. Step 5: Solve for x
    x = 302,229.25/467.25
  6. Step 6: Final answer
    x = 646.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.