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Finding the Fourth Proportional to 910.68, 1,365.84 and 423.96

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Solution

The fourth proportional to 910.68, 1,365.84 and 423.96 is: 635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.68 : 1,365.84 = 423.96 : x
  2. Step 2: Convert to fraction form
    910.68/1,365.84 = 423.96/x
  3. Step 3: Cross multiply
    910.68x = 1,365.84 × 423.96
  4. Step 4: Simplify right side
    910.68x = 579,061.53
  5. Step 5: Solve for x
    x = 579,061.53/910.68
  6. Step 6: Final answer
    x = 635.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.