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Finding the Fourth Proportional to 622.40, 932.97 and 348.62

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Solution

The fourth proportional to 622.40, 932.97 and 348.62 is: 522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.40 : 932.97 = 348.62 : x
  2. Step 2: Convert to fraction form
    622.40/932.97 = 348.62/x
  3. Step 3: Cross multiply
    622.40x = 932.97 × 348.62
  4. Step 4: Simplify right side
    622.40x = 325,252.00
  5. Step 5: Solve for x
    x = 325,252.00/622.40
  6. Step 6: Final answer
    x = 522.58

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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.