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Finding the Fourth Proportional to 419.77, 579.37 and 242.74

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Solution

The fourth proportional to 419.77, 579.37 and 242.74 is: 335.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.77 : 579.37 = 242.74 : x
  2. Step 2: Convert to fraction form
    419.77/579.37 = 242.74/x
  3. Step 3: Cross multiply
    419.77x = 579.37 × 242.74
  4. Step 4: Simplify right side
    419.77x = 140,634.53
  5. Step 5: Solve for x
    x = 140,634.53/419.77
  6. Step 6: Final answer
    x = 335.03

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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.