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Finding the Fourth Proportional to 561.54, 770.10 and 533.46

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Solution

The fourth proportional to 561.54, 770.10 and 533.46 is: 731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.54 : 770.10 = 533.46 : x
  2. Step 2: Convert to fraction form
    561.54/770.10 = 533.46/x
  3. Step 3: Cross multiply
    561.54x = 770.10 × 533.46
  4. Step 4: Simplify right side
    561.54x = 410,817.55
  5. Step 5: Solve for x
    x = 410,817.55/561.54
  6. Step 6: Final answer
    x = 731.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.