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Finding the Fourth Proportional to 810.54, 1,215.76 and 323.24

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Solution

The fourth proportional to 810.54, 1,215.76 and 323.24 is: 484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.54 : 1,215.76 = 323.24 : x
  2. Step 2: Convert to fraction form
    810.54/1,215.76 = 323.24/x
  3. Step 3: Cross multiply
    810.54x = 1,215.76 × 323.24
  4. Step 4: Simplify right side
    810.54x = 392,982.82
  5. Step 5: Solve for x
    x = 392,982.82/810.54
  6. Step 6: Final answer
    x = 484.84

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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.