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Finding the Fourth Proportional to 674.74, 930.46 and 527.32

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Solution

The fourth proportional to 674.74, 930.46 and 527.32 is: 727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.74 : 930.46 = 527.32 : x
  2. Step 2: Convert to fraction form
    674.74/930.46 = 527.32/x
  3. Step 3: Cross multiply
    674.74x = 930.46 × 527.32
  4. Step 4: Simplify right side
    674.74x = 490,650.17
  5. Step 5: Solve for x
    x = 490,650.17/674.74
  6. Step 6: Final answer
    x = 727.17

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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.