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Finding the Fourth Proportional to 533.55, 736.27 and 297.50

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Solution

The fourth proportional to 533.55, 736.27 and 297.50 is: 410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.55 : 736.27 = 297.50 : x
  2. Step 2: Convert to fraction form
    533.55/736.27 = 297.50/x
  3. Step 3: Cross multiply
    533.55x = 736.27 × 297.50
  4. Step 4: Simplify right side
    533.55x = 219,037.02
  5. Step 5: Solve for x
    x = 219,037.02/533.55
  6. Step 6: Final answer
    x = 410.53

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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.