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Finding the Fourth Proportional to 509.48, 763.63 and 235.00

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Solution

The fourth proportional to 509.48, 763.63 and 235.00 is: 352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.48 : 763.63 = 235.00 : x
  2. Step 2: Convert to fraction form
    509.48/763.63 = 235.00/x
  3. Step 3: Cross multiply
    509.48x = 763.63 × 235.00
  4. Step 4: Simplify right side
    509.48x = 179,449.12
  5. Step 5: Solve for x
    x = 179,449.12/509.48
  6. Step 6: Final answer
    x = 352.22

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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.