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Finding the Fourth Proportional to 688.24, 949.08 and 455.44

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Solution

The fourth proportional to 688.24, 949.08 and 455.44 is: 628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.24 : 949.08 = 455.44 : x
  2. Step 2: Convert to fraction form
    688.24/949.08 = 455.44/x
  3. Step 3: Cross multiply
    688.24x = 949.08 × 455.44
  4. Step 4: Simplify right side
    688.24x = 432,249.00
  5. Step 5: Solve for x
    x = 432,249.00/688.24
  6. Step 6: Final answer
    x = 628.05

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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.