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Finding the Fourth Proportional to 533.92, 736.80 and 313

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Solution

The fourth proportional to 533.92, 736.80 and 313 is: 431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.92 : 736.80 = 313 : x
  2. Step 2: Convert to fraction form
    533.92/736.80 = 313/x
  3. Step 3: Cross multiply
    533.92x = 736.80 × 313
  4. Step 4: Simplify right side
    533.92x = 230,618.40
  5. Step 5: Solve for x
    x = 230,618.40/533.92
  6. Step 6: Final answer
    x = 431.93

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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.