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Finding the Fourth Proportional to 688.22, 949.75 and 451.90

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Solution

The fourth proportional to 688.22, 949.75 and 451.90 is: 623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.22 : 949.75 = 451.90 : x
  2. Step 2: Convert to fraction form
    688.22/949.75 = 451.90/x
  3. Step 3: Cross multiply
    688.22x = 949.75 × 451.90
  4. Step 4: Simplify right side
    688.22x = 429,196.02
  5. Step 5: Solve for x
    x = 429,196.02/688.22
  6. Step 6: Final answer
    x = 623.63

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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.