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Finding the Fourth Proportional to 621.63, 932.42 and 377.64

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Solution

The fourth proportional to 621.63, 932.42 and 377.64 is: 566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.63 : 932.42 = 377.64 : x
  2. Step 2: Convert to fraction form
    621.63/932.42 = 377.64/x
  3. Step 3: Cross multiply
    621.63x = 932.42 × 377.64
  4. Step 4: Simplify right side
    621.63x = 352,117.20
  5. Step 5: Solve for x
    x = 352,117.20/621.63
  6. Step 6: Final answer
    x = 566.44

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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.