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Finding the Fourth Proportional to 509.63, 763.73 and 235.11

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Solution

The fourth proportional to 509.63, 763.73 and 235.11 is: 352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.63 : 763.73 = 235.11 : x
  2. Step 2: Convert to fraction form
    509.63/763.73 = 235.11/x
  3. Step 3: Cross multiply
    509.63x = 763.73 × 235.11
  4. Step 4: Simplify right side
    509.63x = 179,559.38
  5. Step 5: Solve for x
    x = 179,559.38/509.63
  6. Step 6: Final answer
    x = 352.34

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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.