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Finding the Fourth Proportional to 684.14, 944.46 and 464.27

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Solution

The fourth proportional to 684.14, 944.46 and 464.27 is: 640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.14 : 944.46 = 464.27 : x
  2. Step 2: Convert to fraction form
    684.14/944.46 = 464.27/x
  3. Step 3: Cross multiply
    684.14x = 944.46 × 464.27
  4. Step 4: Simplify right side
    684.14x = 438,479.72
  5. Step 5: Solve for x
    x = 438,479.72/684.14
  6. Step 6: Final answer
    x = 640.93

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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.