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Finding the Fourth Proportional to 688.07, 949.75 and 475.49

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Solution

The fourth proportional to 688.07, 949.75 and 475.49 is: 656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.07 : 949.75 = 475.49 : x
  2. Step 2: Convert to fraction form
    688.07/949.75 = 475.49/x
  3. Step 3: Cross multiply
    688.07x = 949.75 × 475.49
  4. Step 4: Simplify right side
    688.07x = 451,590.69
  5. Step 5: Solve for x
    x = 451,590.69/688.07
  6. Step 6: Final answer
    x = 656.32

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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.