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Finding the Fourth Proportional to 509.70, 764.55 and 450.30

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Solution

The fourth proportional to 509.70, 764.55 and 450.30 is: 675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.70 : 764.55 = 450.30 : x
  2. Step 2: Convert to fraction form
    509.70/764.55 = 450.30/x
  3. Step 3: Cross multiply
    509.70x = 764.55 × 450.30
  4. Step 4: Simplify right side
    509.70x = 344,276.87
  5. Step 5: Solve for x
    x = 344,276.87/509.70
  6. Step 6: Final answer
    x = 675.45

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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.