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Finding the Fourth Proportional to 520.23, 784.25 and 485.86

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Solution

The fourth proportional to 520.23, 784.25 and 485.86 is: 732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.23 : 784.25 = 485.86 : x
  2. Step 2: Convert to fraction form
    520.23/784.25 = 485.86/x
  3. Step 3: Cross multiply
    520.23x = 784.25 × 485.86
  4. Step 4: Simplify right side
    520.23x = 381,035.71
  5. Step 5: Solve for x
    x = 381,035.71/520.23
  6. Step 6: Final answer
    x = 732.44

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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.