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Finding the Fourth Proportional to 562.97, 776.84 and 376.67

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Solution

The fourth proportional to 562.97, 776.84 and 376.67 is: 519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.97 : 776.84 = 376.67 : x
  2. Step 2: Convert to fraction form
    562.97/776.84 = 376.67/x
  3. Step 3: Cross multiply
    562.97x = 776.84 × 376.67
  4. Step 4: Simplify right side
    562.97x = 292,606.56
  5. Step 5: Solve for x
    x = 292,606.56/562.97
  6. Step 6: Final answer
    x = 519.76

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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.