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Finding the Fourth Proportional to 487.41, 730.42 and 377.20

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Solution

The fourth proportional to 487.41, 730.42 and 377.20 is: 565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.41 : 730.42 = 377.20 : x
  2. Step 2: Convert to fraction form
    487.41/730.42 = 377.20/x
  3. Step 3: Cross multiply
    487.41x = 730.42 × 377.20
  4. Step 4: Simplify right side
    487.41x = 275,516.76
  5. Step 5: Solve for x
    x = 275,516.76/487.41
  6. Step 6: Final answer
    x = 565.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.