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Finding the Fourth Proportional to 639.70, 959.78 and 315.30

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Solution

The fourth proportional to 639.70, 959.78 and 315.30 is: 473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.70 : 959.78 = 315.30 : x
  2. Step 2: Convert to fraction form
    639.70/959.78 = 315.30/x
  3. Step 3: Cross multiply
    639.70x = 959.78 × 315.30
  4. Step 4: Simplify right side
    639.70x = 302,616.74
  5. Step 5: Solve for x
    x = 302,616.74/639.70
  6. Step 6: Final answer
    x = 473.06

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