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Finding the Fourth Proportional to 509.53, 763.74 and 235.21

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Solution

The fourth proportional to 509.53, 763.74 and 235.21 is: 352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.53 : 763.74 = 235.21 : x
  2. Step 2: Convert to fraction form
    509.53/763.74 = 235.21/x
  3. Step 3: Cross multiply
    509.53x = 763.74 × 235.21
  4. Step 4: Simplify right side
    509.53x = 179,639.29
  5. Step 5: Solve for x
    x = 179,639.29/509.53
  6. Step 6: Final answer
    x = 352.56

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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.