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Finding the Fourth Proportional to 684.24, 944.12 and 435.88

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Solution

The fourth proportional to 684.24, 944.12 and 435.88 is: 601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.24 : 944.12 = 435.88 : x
  2. Step 2: Convert to fraction form
    684.24/944.12 = 435.88/x
  3. Step 3: Cross multiply
    684.24x = 944.12 × 435.88
  4. Step 4: Simplify right side
    684.24x = 411,523.03
  5. Step 5: Solve for x
    x = 411,523.03/684.24
  6. Step 6: Final answer
    x = 601.43

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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.