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Finding the Fourth Proportional to 684.72, 944.46 and 448.20

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Solution

The fourth proportional to 684.72, 944.46 and 448.20 is: 618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.72 : 944.46 = 448.20 : x
  2. Step 2: Convert to fraction form
    684.72/944.46 = 448.20/x
  3. Step 3: Cross multiply
    684.72x = 944.46 × 448.20
  4. Step 4: Simplify right side
    684.72x = 423,306.97
  5. Step 5: Solve for x
    x = 423,306.97/684.72
  6. Step 6: Final answer
    x = 618.22

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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.