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Finding the Fourth Proportional to 343.02, 512.30 and 281.46

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Solution

The fourth proportional to 343.02, 512.30 and 281.46 is: 420.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.02 : 512.30 = 281.46 : x
  2. Step 2: Convert to fraction form
    343.02/512.30 = 281.46/x
  3. Step 3: Cross multiply
    343.02x = 512.30 × 281.46
  4. Step 4: Simplify right side
    343.02x = 144,191.96
  5. Step 5: Solve for x
    x = 144,191.96/343.02
  6. Step 6: Final answer
    x = 420.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.