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Finding the Fourth Proportional to 810.16, 1,215.40 and 323.24

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Solution

The fourth proportional to 810.16, 1,215.40 and 323.24 is: 484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.16 : 1,215.40 = 323.24 : x
  2. Step 2: Convert to fraction form
    810.16/1,215.40 = 323.24/x
  3. Step 3: Cross multiply
    810.16x = 1,215.40 × 323.24
  4. Step 4: Simplify right side
    810.16x = 392,865.90
  5. Step 5: Solve for x
    x = 392,865.90/810.16
  6. Step 6: Final answer
    x = 484.92

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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.