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Finding the Fourth Proportional to 533.79, 736.29 and 470.61

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Solution

The fourth proportional to 533.79, 736.29 and 470.61 is: 649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.79 : 736.29 = 470.61 : x
  2. Step 2: Convert to fraction form
    533.79/736.29 = 470.61/x
  3. Step 3: Cross multiply
    533.79x = 736.29 × 470.61
  4. Step 4: Simplify right side
    533.79x = 346,505.44
  5. Step 5: Solve for x
    x = 346,505.44/533.79
  6. Step 6: Final answer
    x = 649.14

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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.