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Finding the Fourth Proportional to 810.36, 1,215.48 and 323.10

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Solution

The fourth proportional to 810.36, 1,215.48 and 323.10 is: 484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.36 : 1,215.48 = 323.10 : x
  2. Step 2: Convert to fraction form
    810.36/1,215.48 = 323.10/x
  3. Step 3: Cross multiply
    810.36x = 1,215.48 × 323.10
  4. Step 4: Simplify right side
    810.36x = 392,721.59
  5. Step 5: Solve for x
    x = 392,721.59/810.36
  6. Step 6: Final answer
    x = 484.63

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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.