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Finding the Fourth Proportional to 849.16, 1,272.63 and 328.65

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Solution

The fourth proportional to 849.16, 1,272.63 and 328.65 is: 492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.16 : 1,272.63 = 328.65 : x
  2. Step 2: Convert to fraction form
    849.16/1,272.63 = 328.65/x
  3. Step 3: Cross multiply
    849.16x = 1,272.63 × 328.65
  4. Step 4: Simplify right side
    849.16x = 418,246.31
  5. Step 5: Solve for x
    x = 418,246.31/849.16
  6. Step 6: Final answer
    x = 492.54

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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.