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Finding the Fourth Proportional to 684.10, 942.87 and 462.97

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Solution

The fourth proportional to 684.10, 942.87 and 462.97 is: 638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.10 : 942.87 = 462.97 : x
  2. Step 2: Convert to fraction form
    684.10/942.87 = 462.97/x
  3. Step 3: Cross multiply
    684.10x = 942.87 × 462.97
  4. Step 4: Simplify right side
    684.10x = 436,520.52
  5. Step 5: Solve for x
    x = 436,520.52/684.10
  6. Step 6: Final answer
    x = 638.09

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Double scale
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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.