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Finding the Fourth Proportional to 642.69, 964.14 and 318.06

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Solution

The fourth proportional to 642.69, 964.14 and 318.06 is: 477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.69 : 964.14 = 318.06 : x
  2. Step 2: Convert to fraction form
    642.69/964.14 = 318.06/x
  3. Step 3: Cross multiply
    642.69x = 964.14 × 318.06
  4. Step 4: Simplify right side
    642.69x = 306,654.37
  5. Step 5: Solve for x
    x = 306,654.37/642.69
  6. Step 6: Final answer
    x = 477.14

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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.