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Finding the Fourth Proportional to 522.02, 782.22 and 494.39

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Solution

The fourth proportional to 522.02, 782.22 and 494.39 is: 740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.02 : 782.22 = 494.39 : x
  2. Step 2: Convert to fraction form
    522.02/782.22 = 494.39/x
  3. Step 3: Cross multiply
    522.02x = 782.22 × 494.39
  4. Step 4: Simplify right side
    522.02x = 386,721.75
  5. Step 5: Solve for x
    x = 386,721.75/522.02
  6. Step 6: Final answer
    x = 740.82

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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.