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Finding the Fourth Proportional to 674.63, 931.39 and 442.16

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Solution

The fourth proportional to 674.63, 931.39 and 442.16 is: 610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.63 : 931.39 = 442.16 : x
  2. Step 2: Convert to fraction form
    674.63/931.39 = 442.16/x
  3. Step 3: Cross multiply
    674.63x = 931.39 × 442.16
  4. Step 4: Simplify right side
    674.63x = 411,817.64
  5. Step 5: Solve for x
    x = 411,817.64/674.63
  6. Step 6: Final answer
    x = 610.44

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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.