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Finding the Fourth Proportional to 507.42, 761.09 and 303.28

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Solution

The fourth proportional to 507.42, 761.09 and 303.28 is: 454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 761.09 = 303.28 : x
  2. Step 2: Convert to fraction form
    507.42/761.09 = 303.28/x
  3. Step 3: Cross multiply
    507.42x = 761.09 × 303.28
  4. Step 4: Simplify right side
    507.42x = 230,819.96
  5. Step 5: Solve for x
    x = 230,819.96/507.42
  6. Step 6: Final answer
    x = 454.89

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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.