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Finding the Fourth Proportional to 533.77, 736.65 and 297.80

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Solution

The fourth proportional to 533.77, 736.65 and 297.80 is: 410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.77 : 736.65 = 297.80 : x
  2. Step 2: Convert to fraction form
    533.77/736.65 = 297.80/x
  3. Step 3: Cross multiply
    533.77x = 736.65 × 297.80
  4. Step 4: Simplify right side
    533.77x = 219,369.20
  5. Step 5: Solve for x
    x = 219,369.20/533.77
  6. Step 6: Final answer
    x = 410.98

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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.