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Finding the Fourth Proportional to 377.16, 566.02 and 281

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Solution

The fourth proportional to 377.16, 566.02 and 281 is: 421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.16 : 566.02 = 281 : x
  2. Step 2: Convert to fraction form
    377.16/566.02 = 281/x
  3. Step 3: Cross multiply
    377.16x = 566.02 × 281
  4. Step 4: Simplify right side
    377.16x = 159,051.62
  5. Step 5: Solve for x
    x = 159,051.62/377.16
  6. Step 6: Final answer
    x = 421.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.