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Finding the Fourth Proportional to 522.24, 779.04 and 494.88

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Solution

The fourth proportional to 522.24, 779.04 and 494.88 is: 738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.24 : 779.04 = 494.88 : x
  2. Step 2: Convert to fraction form
    522.24/779.04 = 494.88/x
  3. Step 3: Cross multiply
    522.24x = 779.04 × 494.88
  4. Step 4: Simplify right side
    522.24x = 385,531.32
  5. Step 5: Solve for x
    x = 385,531.32/522.24
  6. Step 6: Final answer
    x = 738.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.