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Finding the Fourth Proportional to 622.53, 933.80 and 296.91

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Solution

The fourth proportional to 622.53, 933.80 and 296.91 is: 445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.53 : 933.80 = 296.91 : x
  2. Step 2: Convert to fraction form
    622.53/933.80 = 296.91/x
  3. Step 3: Cross multiply
    622.53x = 933.80 × 296.91
  4. Step 4: Simplify right side
    622.53x = 277,254.56
  5. Step 5: Solve for x
    x = 277,254.56/622.53
  6. Step 6: Final answer
    x = 445.37

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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.