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Finding the Fourth Proportional to 419.71, 579.17 and 242.59

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Solution

The fourth proportional to 419.71, 579.17 and 242.59 is: 334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.71 : 579.17 = 242.59 : x
  2. Step 2: Convert to fraction form
    419.71/579.17 = 242.59/x
  3. Step 3: Cross multiply
    419.71x = 579.17 × 242.59
  4. Step 4: Simplify right side
    419.71x = 140,499.73
  5. Step 5: Solve for x
    x = 140,499.73/419.71
  6. Step 6: Final answer
    x = 334.75

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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.