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Finding the Fourth Proportional to 533.46, 736.08 and 297.37

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Solution

The fourth proportional to 533.46, 736.08 and 297.37 is: 410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.46 : 736.08 = 297.37 : x
  2. Step 2: Convert to fraction form
    533.46/736.08 = 297.37/x
  3. Step 3: Cross multiply
    533.46x = 736.08 × 297.37
  4. Step 4: Simplify right side
    533.46x = 218,888.11
  5. Step 5: Solve for x
    x = 218,888.11/533.46
  6. Step 6: Final answer
    x = 410.32

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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.