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Finding the Fourth Proportional to 509.51, 763.81 and 235.53

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Solution

The fourth proportional to 509.51, 763.81 and 235.53 is: 353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.51 : 763.81 = 235.53 : x
  2. Step 2: Convert to fraction form
    509.51/763.81 = 235.53/x
  3. Step 3: Cross multiply
    509.51x = 763.81 × 235.53
  4. Step 4: Simplify right side
    509.51x = 179,899.58
  5. Step 5: Solve for x
    x = 179,899.58/509.51
  6. Step 6: Final answer
    x = 353.08

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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.