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Finding the Fourth Proportional to 377.62, 566.10 and 262.28

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Solution

The fourth proportional to 377.62, 566.10 and 262.28 is: 393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.62 : 566.10 = 262.28 : x
  2. Step 2: Convert to fraction form
    377.62/566.10 = 262.28/x
  3. Step 3: Cross multiply
    377.62x = 566.10 × 262.28
  4. Step 4: Simplify right side
    377.62x = 148,476.71
  5. Step 5: Solve for x
    x = 148,476.71/377.62
  6. Step 6: Final answer
    x = 393.19

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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.