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Finding the Fourth Proportional to 423.02, 583.74 and 254.97

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Solution

The fourth proportional to 423.02, 583.74 and 254.97 is: 351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.02 : 583.74 = 254.97 : x
  2. Step 2: Convert to fraction form
    423.02/583.74 = 254.97/x
  3. Step 3: Cross multiply
    423.02x = 583.74 × 254.97
  4. Step 4: Simplify right side
    423.02x = 148,836.19
  5. Step 5: Solve for x
    x = 148,836.19/423.02
  6. Step 6: Final answer
    x = 351.84

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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.