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Finding the Fourth Proportional to 509.33, 763.96 and 235.64

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Solution

The fourth proportional to 509.33, 763.96 and 235.64 is: 353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.33 : 763.96 = 235.64 : x
  2. Step 2: Convert to fraction form
    509.33/763.96 = 235.64/x
  3. Step 3: Cross multiply
    509.33x = 763.96 × 235.64
  4. Step 4: Simplify right side
    509.33x = 180,019.53
  5. Step 5: Solve for x
    x = 180,019.53/509.33
  6. Step 6: Final answer
    x = 353.44

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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.