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Finding the Fourth Proportional to 674.37, 931.16 and 527.42

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Solution

The fourth proportional to 674.37, 931.16 and 527.42 is: 728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.37 : 931.16 = 527.42 : x
  2. Step 2: Convert to fraction form
    674.37/931.16 = 527.42/x
  3. Step 3: Cross multiply
    674.37x = 931.16 × 527.42
  4. Step 4: Simplify right side
    674.37x = 491,109.77
  5. Step 5: Solve for x
    x = 491,109.77/674.37
  6. Step 6: Final answer
    x = 728.25

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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.