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Finding the Fourth Proportional to 507.81, 762.73 and 302.78

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Solution

The fourth proportional to 507.81, 762.73 and 302.78 is: 454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.81 : 762.73 = 302.78 : x
  2. Step 2: Convert to fraction form
    507.81/762.73 = 302.78/x
  3. Step 3: Cross multiply
    507.81x = 762.73 × 302.78
  4. Step 4: Simplify right side
    507.81x = 230,936.33
  5. Step 5: Solve for x
    x = 230,936.33/507.81
  6. Step 6: Final answer
    x = 454.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.