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Finding the Fourth Proportional to 674.02, 929.37 and 533.86

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Solution

The fourth proportional to 674.02, 929.37 and 533.86 is: 736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.02 : 929.37 = 533.86 : x
  2. Step 2: Convert to fraction form
    674.02/929.37 = 533.86/x
  3. Step 3: Cross multiply
    674.02x = 929.37 × 533.86
  4. Step 4: Simplify right side
    674.02x = 496,153.47
  5. Step 5: Solve for x
    x = 496,153.47/674.02
  6. Step 6: Final answer
    x = 736.11

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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.