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Finding the Fourth Proportional to 622.02, 933.25 and 293.06

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Solution

The fourth proportional to 622.02, 933.25 and 293.06 is: 439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.02 : 933.25 = 293.06 : x
  2. Step 2: Convert to fraction form
    622.02/933.25 = 293.06/x
  3. Step 3: Cross multiply
    622.02x = 933.25 × 293.06
  4. Step 4: Simplify right side
    622.02x = 273,498.25
  5. Step 5: Solve for x
    x = 273,498.25/622.02
  6. Step 6: Final answer
    x = 439.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.