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Finding the Fourth Proportional to 420.84, 581.12 and 273.42

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Solution

The fourth proportional to 420.84, 581.12 and 273.42 is: 377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.84 : 581.12 = 273.42 : x
  2. Step 2: Convert to fraction form
    420.84/581.12 = 273.42/x
  3. Step 3: Cross multiply
    420.84x = 581.12 × 273.42
  4. Step 4: Simplify right side
    420.84x = 158,889.83
  5. Step 5: Solve for x
    x = 158,889.83/420.84
  6. Step 6: Final answer
    x = 377.55

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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.