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Finding the Fourth Proportional to 419.54, 578.93 and 242.46

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Solution

The fourth proportional to 419.54, 578.93 and 242.46 is: 334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.54 : 578.93 = 242.46 : x
  2. Step 2: Convert to fraction form
    419.54/578.93 = 242.46/x
  3. Step 3: Cross multiply
    419.54x = 578.93 × 242.46
  4. Step 4: Simplify right side
    419.54x = 140,367.37
  5. Step 5: Solve for x
    x = 140,367.37/419.54
  6. Step 6: Final answer
    x = 334.57

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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.