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Finding the Fourth Proportional to 421.68, 582.04 and 274.40

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Solution

The fourth proportional to 421.68, 582.04 and 274.40 is: 378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.68 : 582.04 = 274.40 : x
  2. Step 2: Convert to fraction form
    421.68/582.04 = 274.40/x
  3. Step 3: Cross multiply
    421.68x = 582.04 × 274.40
  4. Step 4: Simplify right side
    421.68x = 159,711.78
  5. Step 5: Solve for x
    x = 159,711.78/421.68
  6. Step 6: Final answer
    x = 378.75

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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.