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Finding the Fourth Proportional to 419.16, 578.13 and 271.68

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Solution

The fourth proportional to 419.16, 578.13 and 271.68 is: 374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.16 : 578.13 = 271.68 : x
  2. Step 2: Convert to fraction form
    419.16/578.13 = 271.68/x
  3. Step 3: Cross multiply
    419.16x = 578.13 × 271.68
  4. Step 4: Simplify right side
    419.16x = 157,066.36
  5. Step 5: Solve for x
    x = 157,066.36/419.16
  6. Step 6: Final answer
    x = 374.72

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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.