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Finding the Fourth Proportional to 684.44, 944.61 and 463.40

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Solution

The fourth proportional to 684.44, 944.61 and 463.40 is: 639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.44 : 944.61 = 463.40 : x
  2. Step 2: Convert to fraction form
    684.44/944.61 = 463.40/x
  3. Step 3: Cross multiply
    684.44x = 944.61 × 463.40
  4. Step 4: Simplify right side
    684.44x = 437,732.27
  5. Step 5: Solve for x
    x = 437,732.27/684.44
  6. Step 6: Final answer
    x = 639.55

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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.