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Finding the Fourth Proportional to 423.17, 583.62 and 273.82

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Solution

The fourth proportional to 423.17, 583.62 and 273.82 is: 377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.17 : 583.62 = 273.82 : x
  2. Step 2: Convert to fraction form
    423.17/583.62 = 273.82/x
  3. Step 3: Cross multiply
    423.17x = 583.62 × 273.82
  4. Step 4: Simplify right side
    423.17x = 159,806.83
  5. Step 5: Solve for x
    x = 159,806.83/423.17
  6. Step 6: Final answer
    x = 377.64

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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.