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Finding the Fourth Proportional to 509.70, 764.09 and 235.56

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Solution

The fourth proportional to 509.70, 764.09 and 235.56 is: 353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.70 : 764.09 = 235.56 : x
  2. Step 2: Convert to fraction form
    509.70/764.09 = 235.56/x
  3. Step 3: Cross multiply
    509.70x = 764.09 × 235.56
  4. Step 4: Simplify right side
    509.70x = 179,989.04
  5. Step 5: Solve for x
    x = 179,989.04/509.70
  6. Step 6: Final answer
    x = 353.13

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1.5x scale

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.