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Finding the Fourth Proportional to 682.18, 941.13 and 475.30

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Solution

The fourth proportional to 682.18, 941.13 and 475.30 is: 655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.18 : 941.13 = 475.30 : x
  2. Step 2: Convert to fraction form
    682.18/941.13 = 475.30/x
  3. Step 3: Cross multiply
    682.18x = 941.13 × 475.30
  4. Step 4: Simplify right side
    682.18x = 447,319.09
  5. Step 5: Solve for x
    x = 447,319.09/682.18
  6. Step 6: Final answer
    x = 655.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.