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Finding the Fourth Proportional to 674.09, 931.25 and 533.76

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Solution

The fourth proportional to 674.09, 931.25 and 533.76 is: 737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.09 : 931.25 = 533.76 : x
  2. Step 2: Convert to fraction form
    674.09/931.25 = 533.76/x
  3. Step 3: Cross multiply
    674.09x = 931.25 × 533.76
  4. Step 4: Simplify right side
    674.09x = 497,064
  5. Step 5: Solve for x
    x = 497,064/674.09
  6. Step 6: Final answer
    x = 737.39

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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.