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Finding the Fourth Proportional to 537.65, 805.26 and 467.33

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Solution

The fourth proportional to 537.65, 805.26 and 467.33 is: 699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.65 : 805.26 = 467.33 : x
  2. Step 2: Convert to fraction form
    537.65/805.26 = 467.33/x
  3. Step 3: Cross multiply
    537.65x = 805.26 × 467.33
  4. Step 4: Simplify right side
    537.65x = 376,322.16
  5. Step 5: Solve for x
    x = 376,322.16/537.65
  6. Step 6: Final answer
    x = 699.95

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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.