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Finding the Fourth Proportional to 562.37, 776.39 and 376.17

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Solution

The fourth proportional to 562.37, 776.39 and 376.17 is: 519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.37 : 776.39 = 376.17 : x
  2. Step 2: Convert to fraction form
    562.37/776.39 = 376.17/x
  3. Step 3: Cross multiply
    562.37x = 776.39 × 376.17
  4. Step 4: Simplify right side
    562.37x = 292,052.75
  5. Step 5: Solve for x
    x = 292,052.75/562.37
  6. Step 6: Final answer
    x = 519.33

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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.