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Finding the Fourth Proportional to 509.34, 763.99 and 201.11

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Solution

The fourth proportional to 509.34, 763.99 and 201.11 is: 301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.34 : 763.99 = 201.11 : x
  2. Step 2: Convert to fraction form
    509.34/763.99 = 201.11/x
  3. Step 3: Cross multiply
    509.34x = 763.99 × 201.11
  4. Step 4: Simplify right side
    509.34x = 153,646.03
  5. Step 5: Solve for x
    x = 153,646.03/509.34
  6. Step 6: Final answer
    x = 301.66

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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.