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Finding the Fourth Proportional to 622.48, 933.97 and 314.42

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Solution

The fourth proportional to 622.48, 933.97 and 314.42 is: 471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.48 : 933.97 = 314.42 : x
  2. Step 2: Convert to fraction form
    622.48/933.97 = 314.42/x
  3. Step 3: Cross multiply
    622.48x = 933.97 × 314.42
  4. Step 4: Simplify right side
    622.48x = 293,658.85
  5. Step 5: Solve for x
    x = 293,658.85/622.48
  6. Step 6: Final answer
    x = 471.76

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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.