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Finding the Fourth Proportional to 688.09, 949.63 and 393.40

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Solution

The fourth proportional to 688.09, 949.63 and 393.40 is: 542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.09 : 949.63 = 393.40 : x
  2. Step 2: Convert to fraction form
    688.09/949.63 = 393.40/x
  3. Step 3: Cross multiply
    688.09x = 949.63 × 393.40
  4. Step 4: Simplify right side
    688.09x = 373,585.43
  5. Step 5: Solve for x
    x = 373,585.43/688.09
  6. Step 6: Final answer
    x = 542.93

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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.