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Finding the Fourth Proportional to 682.83, 942.84 and 461.70

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Solution

The fourth proportional to 682.83, 942.84 and 461.70 is: 637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.83 : 942.84 = 461.70 : x
  2. Step 2: Convert to fraction form
    682.83/942.84 = 461.70/x
  3. Step 3: Cross multiply
    682.83x = 942.84 × 461.70
  4. Step 4: Simplify right side
    682.83x = 435,309.23
  5. Step 5: Solve for x
    x = 435,309.23/682.83
  6. Step 6: Final answer
    x = 637.51

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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.