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Finding the Fourth Proportional to 509.42, 701.96 and 353.90

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Solution

The fourth proportional to 509.42, 701.96 and 353.90 is: 487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.42 : 701.96 = 353.90 : x
  2. Step 2: Convert to fraction form
    509.42/701.96 = 353.90/x
  3. Step 3: Cross multiply
    509.42x = 701.96 × 353.90
  4. Step 4: Simplify right side
    509.42x = 248,418.36
  5. Step 5: Solve for x
    x = 248,418.36/509.42
  6. Step 6: Final answer
    x = 487.65

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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.