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Finding the Fourth Proportional to 419.34, 578.03 and 271.65

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Solution

The fourth proportional to 419.34, 578.03 and 271.65 is: 374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.34 : 578.03 = 271.65 : x
  2. Step 2: Convert to fraction form
    419.34/578.03 = 271.65/x
  3. Step 3: Cross multiply
    419.34x = 578.03 × 271.65
  4. Step 4: Simplify right side
    419.34x = 157,020.49
  5. Step 5: Solve for x
    x = 157,020.49/419.34
  6. Step 6: Final answer
    x = 374.45

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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.