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Finding the Fourth Proportional to 423.32, 584.16 and 274

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Solution

The fourth proportional to 423.32, 584.16 and 274 is: 378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.32 : 584.16 = 274 : x
  2. Step 2: Convert to fraction form
    423.32/584.16 = 274/x
  3. Step 3: Cross multiply
    423.32x = 584.16 × 274
  4. Step 4: Simplify right side
    423.32x = 160,059.84
  5. Step 5: Solve for x
    x = 160,059.84/423.32
  6. Step 6: Final answer
    x = 378.11

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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.