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Finding the Fourth Proportional to 688.29, 949.93 and 393.57

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Solution

The fourth proportional to 688.29, 949.93 and 393.57 is: 543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.29 : 949.93 = 393.57 : x
  2. Step 2: Convert to fraction form
    688.29/949.93 = 393.57/x
  3. Step 3: Cross multiply
    688.29x = 949.93 × 393.57
  4. Step 4: Simplify right side
    688.29x = 373,863.95
  5. Step 5: Solve for x
    x = 373,863.95/688.29
  6. Step 6: Final answer
    x = 543.18

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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.