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Finding the Fourth Proportional to 533.83, 736.76 and 312.74

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Solution

The fourth proportional to 533.83, 736.76 and 312.74 is: 431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.83 : 736.76 = 312.74 : x
  2. Step 2: Convert to fraction form
    533.83/736.76 = 312.74/x
  3. Step 3: Cross multiply
    533.83x = 736.76 × 312.74
  4. Step 4: Simplify right side
    533.83x = 230,411.84
  5. Step 5: Solve for x
    x = 230,411.84/533.83
  6. Step 6: Final answer
    x = 431.62

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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.