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Finding the Fourth Proportional to 421.98, 582.10 and 274.76

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Solution

The fourth proportional to 421.98, 582.10 and 274.76 is: 379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.98 : 582.10 = 274.76 : x
  2. Step 2: Convert to fraction form
    421.98/582.10 = 274.76/x
  3. Step 3: Cross multiply
    421.98x = 582.10 × 274.76
  4. Step 4: Simplify right side
    421.98x = 159,937.80
  5. Step 5: Solve for x
    x = 159,937.80/421.98
  6. Step 6: Final answer
    x = 379.02

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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.