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Finding the Fourth Proportional to 682.50, 941.64 and 416.82

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Solution

The fourth proportional to 682.50, 941.64 and 416.82 is: 575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.50 : 941.64 = 416.82 : x
  2. Step 2: Convert to fraction form
    682.50/941.64 = 416.82/x
  3. Step 3: Cross multiply
    682.50x = 941.64 × 416.82
  4. Step 4: Simplify right side
    682.50x = 392,494.38
  5. Step 5: Solve for x
    x = 392,494.38/682.50
  6. Step 6: Final answer
    x = 575.08

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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.