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Finding the Fourth Proportional to 684.46, 944.32 and 385.68

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Solution

The fourth proportional to 684.46, 944.32 and 385.68 is: 532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.46 : 944.32 = 385.68 : x
  2. Step 2: Convert to fraction form
    684.46/944.32 = 385.68/x
  3. Step 3: Cross multiply
    684.46x = 944.32 × 385.68
  4. Step 4: Simplify right side
    684.46x = 364,205.34
  5. Step 5: Solve for x
    x = 364,205.34/684.46
  6. Step 6: Final answer
    x = 532.11

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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.