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Finding the Fourth Proportional to 622.34, 933.71 and 348.96

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Solution

The fourth proportional to 622.34, 933.71 and 348.96 is: 523.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.34 : 933.71 = 348.96 : x
  2. Step 2: Convert to fraction form
    622.34/933.71 = 348.96/x
  3. Step 3: Cross multiply
    622.34x = 933.71 × 348.96
  4. Step 4: Simplify right side
    622.34x = 325,825.70
  5. Step 5: Solve for x
    x = 325,825.70/622.34
  6. Step 6: Final answer
    x = 523.55

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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.