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Finding the Fourth Proportional to 520.22, 780.33 and 494.27

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Solution

The fourth proportional to 520.22, 780.33 and 494.27 is: 741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.22 : 780.33 = 494.27 : x
  2. Step 2: Convert to fraction form
    520.22/780.33 = 494.27/x
  3. Step 3: Cross multiply
    520.22x = 780.33 × 494.27
  4. Step 4: Simplify right side
    520.22x = 385,693.71
  5. Step 5: Solve for x
    x = 385,693.71/520.22
  6. Step 6: Final answer
    x = 741.41

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