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Finding the Fourth Proportional to 509.93, 703.31 and 343.88

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Solution

The fourth proportional to 509.93, 703.31 and 343.88 is: 474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.93 : 703.31 = 343.88 : x
  2. Step 2: Convert to fraction form
    509.93/703.31 = 343.88/x
  3. Step 3: Cross multiply
    509.93x = 703.31 × 343.88
  4. Step 4: Simplify right side
    509.93x = 241,849.01
  5. Step 5: Solve for x
    x = 241,849.01/509.93
  6. Step 6: Final answer
    x = 474.28

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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.