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Finding the Fourth Proportional to 419.52, 578.57 and 261.84

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Solution

The fourth proportional to 419.52, 578.57 and 261.84 is: 361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.52 : 578.57 = 261.84 : x
  2. Step 2: Convert to fraction form
    419.52/578.57 = 261.84/x
  3. Step 3: Cross multiply
    419.52x = 578.57 × 261.84
  4. Step 4: Simplify right side
    419.52x = 151,491.46
  5. Step 5: Solve for x
    x = 151,491.46/419.52
  6. Step 6: Final answer
    x = 361.11

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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.