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Finding the Fourth Proportional to 522.22, 719.67 and 374.61

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Solution

The fourth proportional to 522.22, 719.67 and 374.61 is: 516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.22 : 719.67 = 374.61 : x
  2. Step 2: Convert to fraction form
    522.22/719.67 = 374.61/x
  3. Step 3: Cross multiply
    522.22x = 719.67 × 374.61
  4. Step 4: Simplify right side
    522.22x = 269,595.58
  5. Step 5: Solve for x
    x = 269,595.58/522.22
  6. Step 6: Final answer
    x = 516.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.