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Finding the Fourth Proportional to 509.42, 701.88 and 343.46

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Solution

The fourth proportional to 509.42, 701.88 and 343.46 is: 473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.42 : 701.88 = 343.46 : x
  2. Step 2: Convert to fraction form
    509.42/701.88 = 343.46/x
  3. Step 3: Cross multiply
    509.42x = 701.88 × 343.46
  4. Step 4: Simplify right side
    509.42x = 241,067.70
  5. Step 5: Solve for x
    x = 241,067.70/509.42
  6. Step 6: Final answer
    x = 473.22

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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.