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Finding the Fourth Proportional to 533.69, 736.50 and 297.66

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Solution

The fourth proportional to 533.69, 736.50 and 297.66 is: 410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.69 : 736.50 = 297.66 : x
  2. Step 2: Convert to fraction form
    533.69/736.50 = 297.66/x
  3. Step 3: Cross multiply
    533.69x = 736.50 × 297.66
  4. Step 4: Simplify right side
    533.69x = 219,223.83
  5. Step 5: Solve for x
    x = 219,223.83/533.69
  6. Step 6: Final answer
    x = 410.77

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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.