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Finding the Fourth Proportional to 423.24, 583.83 and 276.02

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Solution

The fourth proportional to 423.24, 583.83 and 276.02 is: 380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.24 : 583.83 = 276.02 : x
  2. Step 2: Convert to fraction form
    423.24/583.83 = 276.02/x
  3. Step 3: Cross multiply
    423.24x = 583.83 × 276.02
  4. Step 4: Simplify right side
    423.24x = 161,148.76
  5. Step 5: Solve for x
    x = 161,148.76/423.24
  6. Step 6: Final answer
    x = 380.75

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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.