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Finding the Fourth Proportional to 622.60, 933.73 and 313.90

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Solution

The fourth proportional to 622.60, 933.73 and 313.90 is: 470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.60 : 933.73 = 313.90 : x
  2. Step 2: Convert to fraction form
    622.60/933.73 = 313.90/x
  3. Step 3: Cross multiply
    622.60x = 933.73 × 313.90
  4. Step 4: Simplify right side
    622.60x = 293,097.85
  5. Step 5: Solve for x
    x = 293,097.85/622.60
  6. Step 6: Final answer
    x = 470.76

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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.