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Finding the Fourth Proportional to 622.01, 933.23 and 297.14

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Solution

The fourth proportional to 622.01, 933.23 and 297.14 is: 445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.01 : 933.23 = 297.14 : x
  2. Step 2: Convert to fraction form
    622.01/933.23 = 297.14/x
  3. Step 3: Cross multiply
    622.01x = 933.23 × 297.14
  4. Step 4: Simplify right side
    622.01x = 277,296.04
  5. Step 5: Solve for x
    x = 277,296.04/622.01
  6. Step 6: Final answer
    x = 445.80

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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.