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Finding the Fourth Proportional to 622.89, 932.49 and 378.63

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Solution

The fourth proportional to 622.89, 932.49 and 378.63 is: 566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.89 : 932.49 = 378.63 : x
  2. Step 2: Convert to fraction form
    622.89/932.49 = 378.63/x
  3. Step 3: Cross multiply
    622.89x = 932.49 × 378.63
  4. Step 4: Simplify right side
    622.89x = 353,068.69
  5. Step 5: Solve for x
    x = 353,068.69/622.89
  6. Step 6: Final answer
    x = 566.82

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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.