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Finding the Fourth Proportional to 688.26, 949.78 and 377.76

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Solution

The fourth proportional to 688.26, 949.78 and 377.76 is: 521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.26 : 949.78 = 377.76 : x
  2. Step 2: Convert to fraction form
    688.26/949.78 = 377.76/x
  3. Step 3: Cross multiply
    688.26x = 949.78 × 377.76
  4. Step 4: Simplify right side
    688.26x = 358,788.89
  5. Step 5: Solve for x
    x = 358,788.89/688.26
  6. Step 6: Final answer
    x = 521.30

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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.