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Finding the Fourth Proportional to 520.11, 784.24 and 477.05

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Solution

The fourth proportional to 520.11, 784.24 and 477.05 is: 719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.11 : 784.24 = 477.05 : x
  2. Step 2: Convert to fraction form
    520.11/784.24 = 477.05/x
  3. Step 3: Cross multiply
    520.11x = 784.24 × 477.05
  4. Step 4: Simplify right side
    520.11x = 374,121.69
  5. Step 5: Solve for x
    x = 374,121.69/520.11
  6. Step 6: Final answer
    x = 719.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.