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Finding the Fourth Proportional to 562.06, 776.32 and 422.80

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Solution

The fourth proportional to 562.06, 776.32 and 422.80 is: 583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.06 : 776.32 = 422.80 : x
  2. Step 2: Convert to fraction form
    562.06/776.32 = 422.80/x
  3. Step 3: Cross multiply
    562.06x = 776.32 × 422.80
  4. Step 4: Simplify right side
    562.06x = 328,228.10
  5. Step 5: Solve for x
    x = 328,228.10/562.06
  6. Step 6: Final answer
    x = 583.97

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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.