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Finding the Fourth Proportional to 562.51, 775.46 and 396.21

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Solution

The fourth proportional to 562.51, 775.46 and 396.21 is: 546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.51 : 775.46 = 396.21 : x
  2. Step 2: Convert to fraction form
    562.51/775.46 = 396.21/x
  3. Step 3: Cross multiply
    562.51x = 775.46 × 396.21
  4. Step 4: Simplify right side
    562.51x = 307,245.01
  5. Step 5: Solve for x
    x = 307,245.01/562.51
  6. Step 6: Final answer
    x = 546.20

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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.