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Finding the Fourth Proportional to 642.11, 962.43 and 313.22

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Solution

The fourth proportional to 642.11, 962.43 and 313.22 is: 469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.11 : 962.43 = 313.22 : x
  2. Step 2: Convert to fraction form
    642.11/962.43 = 313.22/x
  3. Step 3: Cross multiply
    642.11x = 962.43 × 313.22
  4. Step 4: Simplify right side
    642.11x = 301,452.32
  5. Step 5: Solve for x
    x = 301,452.32/642.11
  6. Step 6: Final answer
    x = 469.47

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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.