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Finding the Fourth Proportional to 810.47, 1,215.99 and 323.84

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Solution

The fourth proportional to 810.47, 1,215.99 and 323.84 is: 485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.47 : 1,215.99 = 323.84 : x
  2. Step 2: Convert to fraction form
    810.47/1,215.99 = 323.84/x
  3. Step 3: Cross multiply
    810.47x = 1,215.99 × 323.84
  4. Step 4: Simplify right side
    810.47x = 393,780.12
  5. Step 5: Solve for x
    x = 393,780.12/810.47
  6. Step 6: Final answer
    x = 485.87

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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.