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Finding the Fourth Proportional to 688.84, 950.32 and 393.94

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Solution

The fourth proportional to 688.84, 950.32 and 393.94 is: 543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.84 : 950.32 = 393.94 : x
  2. Step 2: Convert to fraction form
    688.84/950.32 = 393.94/x
  3. Step 3: Cross multiply
    688.84x = 950.32 × 393.94
  4. Step 4: Simplify right side
    688.84x = 374,370.45
  5. Step 5: Solve for x
    x = 374,370.45/688.84
  6. Step 6: Final answer
    x = 543.48

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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.