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Finding the Fourth Proportional to 533.44, 735.14 and 524

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Solution

The fourth proportional to 533.44, 735.14 and 524 is: 722.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.44 : 735.14 = 524 : x
  2. Step 2: Convert to fraction form
    533.44/735.14 = 524/x
  3. Step 3: Cross multiply
    533.44x = 735.14 × 524
  4. Step 4: Simplify right side
    533.44x = 385,213.36
  5. Step 5: Solve for x
    x = 385,213.36/533.44
  6. Step 6: Final answer
    x = 722.13

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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.