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Finding the Fourth Proportional to 682.85, 941.59 and 461.42

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Solution

The fourth proportional to 682.85, 941.59 and 461.42 is: 636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.85 : 941.59 = 461.42 : x
  2. Step 2: Convert to fraction form
    682.85/941.59 = 461.42/x
  3. Step 3: Cross multiply
    682.85x = 941.59 × 461.42
  4. Step 4: Simplify right side
    682.85x = 434,466.10
  5. Step 5: Solve for x
    x = 434,466.10/682.85
  6. Step 6: Final answer
    x = 636.25

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1.5x scale

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.