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Finding the Fourth Proportional to 343.46, 474.73 and 288.99

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Solution

The fourth proportional to 343.46, 474.73 and 288.99 is: 399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.46 : 474.73 = 288.99 : x
  2. Step 2: Convert to fraction form
    343.46/474.73 = 288.99/x
  3. Step 3: Cross multiply
    343.46x = 474.73 × 288.99
  4. Step 4: Simplify right side
    343.46x = 137,191.50
  5. Step 5: Solve for x
    x = 137,191.50/343.46
  6. Step 6: Final answer
    x = 399.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.