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Finding the Fourth Proportional to 684.54, 944.62 and 432.17

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Solution

The fourth proportional to 684.54, 944.62 and 432.17 is: 596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.54 : 944.62 = 432.17 : x
  2. Step 2: Convert to fraction form
    684.54/944.62 = 432.17/x
  3. Step 3: Cross multiply
    684.54x = 944.62 × 432.17
  4. Step 4: Simplify right side
    684.54x = 408,237.71
  5. Step 5: Solve for x
    x = 408,237.71/684.54
  6. Step 6: Final answer
    x = 596.37

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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.