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Finding the Fourth Proportional to 509.98, 764.54 and 202.05

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Solution

The fourth proportional to 509.98, 764.54 and 202.05 is: 302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.98 : 764.54 = 202.05 : x
  2. Step 2: Convert to fraction form
    509.98/764.54 = 202.05/x
  3. Step 3: Cross multiply
    509.98x = 764.54 × 202.05
  4. Step 4: Simplify right side
    509.98x = 154,474.80
  5. Step 5: Solve for x
    x = 154,474.80/509.98
  6. Step 6: Final answer
    x = 302.90

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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.