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Finding the Fourth Proportional to 639.84, 959.46 and 293.16

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Solution

The fourth proportional to 639.84, 959.46 and 293.16 is: 439.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.84 : 959.46 = 293.16 : x
  2. Step 2: Convert to fraction form
    639.84/959.46 = 293.16/x
  3. Step 3: Cross multiply
    639.84x = 959.46 × 293.16
  4. Step 4: Simplify right side
    639.84x = 281,275.29
  5. Step 5: Solve for x
    x = 281,275.29/639.84
  6. Step 6: Final answer
    x = 439.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.