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Finding the Fourth Proportional to 419.87, 579.39 and 242.77

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Solution

The fourth proportional to 419.87, 579.39 and 242.77 is: 335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.87 : 579.39 = 242.77 : x
  2. Step 2: Convert to fraction form
    419.87/579.39 = 242.77/x
  3. Step 3: Cross multiply
    419.87x = 579.39 × 242.77
  4. Step 4: Simplify right side
    419.87x = 140,658.51
  5. Step 5: Solve for x
    x = 140,658.51/419.87
  6. Step 6: Final answer
    x = 335.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.