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Finding the Fourth Proportional to 508.81, 764.23 and 303.78

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Solution

The fourth proportional to 508.81, 764.23 and 303.78 is: 456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.81 : 764.23 = 303.78 : x
  2. Step 2: Convert to fraction form
    508.81/764.23 = 303.78/x
  3. Step 3: Cross multiply
    508.81x = 764.23 × 303.78
  4. Step 4: Simplify right side
    508.81x = 232,157.79
  5. Step 5: Solve for x
    x = 232,157.79/508.81
  6. Step 6: Final answer
    x = 456.28

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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.