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Finding the Fourth Proportional to 509.28, 764.93 and 303.81

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Solution

The fourth proportional to 509.28, 764.93 and 303.81 is: 456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.28 : 764.93 = 303.81 : x
  2. Step 2: Convert to fraction form
    509.28/764.93 = 303.81/x
  3. Step 3: Cross multiply
    509.28x = 764.93 × 303.81
  4. Step 4: Simplify right side
    509.28x = 232,393.38
  5. Step 5: Solve for x
    x = 232,393.38/509.28
  6. Step 6: Final answer
    x = 456.32

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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.