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Finding the Fourth Proportional to 684.24, 944.52 and 451.28

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Solution

The fourth proportional to 684.24, 944.52 and 451.28 is: 622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.24 : 944.52 = 451.28 : x
  2. Step 2: Convert to fraction form
    684.24/944.52 = 451.28/x
  3. Step 3: Cross multiply
    684.24x = 944.52 × 451.28
  4. Step 4: Simplify right side
    684.24x = 426,242.99
  5. Step 5: Solve for x
    x = 426,242.99/684.24
  6. Step 6: Final answer
    x = 622.94

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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.