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Finding the Fourth Proportional to 473.30, 708.87 and 343.46

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Solution

The fourth proportional to 473.30, 708.87 and 343.46 is: 514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.30 : 708.87 = 343.46 : x
  2. Step 2: Convert to fraction form
    473.30/708.87 = 343.46/x
  3. Step 3: Cross multiply
    473.30x = 708.87 × 343.46
  4. Step 4: Simplify right side
    473.30x = 243,468.49
  5. Step 5: Solve for x
    x = 243,468.49/473.30
  6. Step 6: Final answer
    x = 514.41

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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.