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Finding the Fourth Proportional to 522.59, 719.96 and 374.96

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Solution

The fourth proportional to 522.59, 719.96 and 374.96 is: 516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.59 : 719.96 = 374.96 : x
  2. Step 2: Convert to fraction form
    522.59/719.96 = 374.96/x
  3. Step 3: Cross multiply
    522.59x = 719.96 × 374.96
  4. Step 4: Simplify right side
    522.59x = 269,956.13
  5. Step 5: Solve for x
    x = 269,956.13/522.59
  6. Step 6: Final answer
    x = 516.58

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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.