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Finding the Fourth Proportional to 674.10, 930.06 and 425.21

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Solution

The fourth proportional to 674.10, 930.06 and 425.21 is: 586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.10 : 930.06 = 425.21 : x
  2. Step 2: Convert to fraction form
    674.10/930.06 = 425.21/x
  3. Step 3: Cross multiply
    674.10x = 930.06 × 425.21
  4. Step 4: Simplify right side
    674.10x = 395,466.16
  5. Step 5: Solve for x
    x = 395,466.16/674.10
  6. Step 6: Final answer
    x = 586.66

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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.