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Finding the Fourth Proportional to 661.50, 913.14 and 428.76

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Solution

The fourth proportional to 661.50, 913.14 and 428.76 is: 591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.50 : 913.14 = 428.76 : x
  2. Step 2: Convert to fraction form
    661.50/913.14 = 428.76/x
  3. Step 3: Cross multiply
    661.50x = 913.14 × 428.76
  4. Step 4: Simplify right side
    661.50x = 391,517.91
  5. Step 5: Solve for x
    x = 391,517.91/661.50
  6. Step 6: Final answer
    x = 591.86

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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.