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Finding the Fourth Proportional to 810.24, 1,215.50 and 399.42

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Solution

The fourth proportional to 810.24, 1,215.50 and 399.42 is: 599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.24 : 1,215.50 = 399.42 : x
  2. Step 2: Convert to fraction form
    810.24/1,215.50 = 399.42/x
  3. Step 3: Cross multiply
    810.24x = 1,215.50 × 399.42
  4. Step 4: Simplify right side
    810.24x = 485,493.01
  5. Step 5: Solve for x
    x = 485,493.01/810.24
  6. Step 6: Final answer
    x = 599.20

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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.