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Finding the Fourth Proportional to 688.41, 949.95 and 393.75

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Solution

The fourth proportional to 688.41, 949.95 and 393.75 is: 543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.41 : 949.95 = 393.75 : x
  2. Step 2: Convert to fraction form
    688.41/949.95 = 393.75/x
  3. Step 3: Cross multiply
    688.41x = 949.95 × 393.75
  4. Step 4: Simplify right side
    688.41x = 374,042.81
  5. Step 5: Solve for x
    x = 374,042.81/688.41
  6. Step 6: Final answer
    x = 543.34

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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.