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Finding the Fourth Proportional to 522.22, 777.18 and 502.78

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Solution

The fourth proportional to 522.22, 777.18 and 502.78 is: 748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.22 : 777.18 = 502.78 : x
  2. Step 2: Convert to fraction form
    522.22/777.18 = 502.78/x
  3. Step 3: Cross multiply
    522.22x = 777.18 × 502.78
  4. Step 4: Simplify right side
    522.22x = 390,750.56
  5. Step 5: Solve for x
    x = 390,750.56/522.22
  6. Step 6: Final answer
    x = 748.25

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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.