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Finding the Fourth Proportional to 423.16, 583.84 and 306.52

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Solution

The fourth proportional to 423.16, 583.84 and 306.52 is: 422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.16 : 583.84 = 306.52 : x
  2. Step 2: Convert to fraction form
    423.16/583.84 = 306.52/x
  3. Step 3: Cross multiply
    423.16x = 583.84 × 306.52
  4. Step 4: Simplify right side
    423.16x = 178,958.64
  5. Step 5: Solve for x
    x = 178,958.64/423.16
  6. Step 6: Final answer
    x = 422.91

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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.