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Finding the Fourth Proportional to 520.59, 717.96 and 374.19

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Solution

The fourth proportional to 520.59, 717.96 and 374.19 is: 516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.59 : 717.96 = 374.19 : x
  2. Step 2: Convert to fraction form
    520.59/717.96 = 374.19/x
  3. Step 3: Cross multiply
    520.59x = 717.96 × 374.19
  4. Step 4: Simplify right side
    520.59x = 268,653.45
  5. Step 5: Solve for x
    x = 268,653.45/520.59
  6. Step 6: Final answer
    x = 516.06

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Why These Related Problems?

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