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Finding the Fourth Proportional to 642.17, 962.64 and 317.36

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Solution

The fourth proportional to 642.17, 962.64 and 317.36 is: 475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.17 : 962.64 = 317.36 : x
  2. Step 2: Convert to fraction form
    642.17/962.64 = 317.36/x
  3. Step 3: Cross multiply
    642.17x = 962.64 × 317.36
  4. Step 4: Simplify right side
    642.17x = 305,498.62
  5. Step 5: Solve for x
    x = 305,498.62/642.17
  6. Step 6: Final answer
    x = 475.73

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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.