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Finding the Fourth Proportional to 684.37, 944.43 and 418.73

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Solution

The fourth proportional to 684.37, 944.43 and 418.73 is: 577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.37 : 944.43 = 418.73 : x
  2. Step 2: Convert to fraction form
    684.37/944.43 = 418.73/x
  3. Step 3: Cross multiply
    684.37x = 944.43 × 418.73
  4. Step 4: Simplify right side
    684.37x = 395,461.17
  5. Step 5: Solve for x
    x = 395,461.17/684.37
  6. Step 6: Final answer
    x = 577.85

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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.