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Finding the Fourth Proportional to 509.10, 764.05 and 235.22

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Solution

The fourth proportional to 509.10, 764.05 and 235.22 is: 353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.10 : 764.05 = 235.22 : x
  2. Step 2: Convert to fraction form
    509.10/764.05 = 235.22/x
  3. Step 3: Cross multiply
    509.10x = 764.05 × 235.22
  4. Step 4: Simplify right side
    509.10x = 179,721.16
  5. Step 5: Solve for x
    x = 179,721.16/509.10
  6. Step 6: Final answer
    x = 353.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.