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Finding the Fourth Proportional to 688.24, 949.52 and 439.48

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Solution

The fourth proportional to 688.24, 949.52 and 439.48 is: 606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.24 : 949.52 = 439.48 : x
  2. Step 2: Convert to fraction form
    688.24/949.52 = 439.48/x
  3. Step 3: Cross multiply
    688.24x = 949.52 × 439.48
  4. Step 4: Simplify right side
    688.24x = 417,295.05
  5. Step 5: Solve for x
    x = 417,295.05/688.24
  6. Step 6: Final answer
    x = 606.32

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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.