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Finding the Fourth Proportional to 423.50, 584.10 and 274.14

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Solution

The fourth proportional to 423.50, 584.10 and 274.14 is: 378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.50 : 584.10 = 274.14 : x
  2. Step 2: Convert to fraction form
    423.50/584.10 = 274.14/x
  3. Step 3: Cross multiply
    423.50x = 584.10 × 274.14
  4. Step 4: Simplify right side
    423.50x = 160,125.17
  5. Step 5: Solve for x
    x = 160,125.17/423.50
  6. Step 6: Final answer
    x = 378.10

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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.