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Finding the Fourth Proportional to 509, 763.02 and 184.16

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Solution

The fourth proportional to 509, 763.02 and 184.16 is: 276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 763.02 = 184.16 : x
  2. Step 2: Convert to fraction form
    509/763.02 = 184.16/x
  3. Step 3: Cross multiply
    509x = 763.02 × 184.16
  4. Step 4: Simplify right side
    509x = 140,517.76
  5. Step 5: Solve for x
    x = 140,517.76/509
  6. Step 6: Final answer
    x = 276.07

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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.