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Finding the Fourth Proportional to 509.28, 763.35 and 201.08

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Solution

The fourth proportional to 509.28, 763.35 and 201.08 is: 301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.28 : 763.35 = 201.08 : x
  2. Step 2: Convert to fraction form
    509.28/763.35 = 201.08/x
  3. Step 3: Cross multiply
    509.28x = 763.35 × 201.08
  4. Step 4: Simplify right side
    509.28x = 153,494.42
  5. Step 5: Solve for x
    x = 153,494.42/509.28
  6. Step 6: Final answer
    x = 301.39

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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.