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Finding the Fourth Proportional to 688.11, 949.64 and 393.51

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Solution

The fourth proportional to 688.11, 949.64 and 393.51 is: 543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.11 : 949.64 = 393.51 : x
  2. Step 2: Convert to fraction form
    688.11/949.64 = 393.51/x
  3. Step 3: Cross multiply
    688.11x = 949.64 × 393.51
  4. Step 4: Simplify right side
    688.11x = 373,690.87
  5. Step 5: Solve for x
    x = 373,690.87/688.11
  6. Step 6: Final answer
    x = 543.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.