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Finding the Fourth Proportional to 562.70, 839.24 and 533.54

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Solution

The fourth proportional to 562.70, 839.24 and 533.54 is: 795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.70 : 839.24 = 533.54 : x
  2. Step 2: Convert to fraction form
    562.70/839.24 = 533.54/x
  3. Step 3: Cross multiply
    562.70x = 839.24 × 533.54
  4. Step 4: Simplify right side
    562.70x = 447,761.25
  5. Step 5: Solve for x
    x = 447,761.25/562.70
  6. Step 6: Final answer
    x = 795.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.