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Finding the Fourth Proportional to 812.32, 1,218.40 and 235.24

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Solution

The fourth proportional to 812.32, 1,218.40 and 235.24 is: 352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.32 : 1,218.40 = 235.24 : x
  2. Step 2: Convert to fraction form
    812.32/1,218.40 = 235.24/x
  3. Step 3: Cross multiply
    812.32x = 1,218.40 × 235.24
  4. Step 4: Simplify right side
    812.32x = 286,616.42
  5. Step 5: Solve for x
    x = 286,616.42/812.32
  6. Step 6: Final answer
    x = 352.84

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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.