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Finding the Fourth Proportional to 622.06, 933.18 and 314.14

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Solution

The fourth proportional to 622.06, 933.18 and 314.14 is: 471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.06 : 933.18 = 314.14 : x
  2. Step 2: Convert to fraction form
    622.06/933.18 = 314.14/x
  3. Step 3: Cross multiply
    622.06x = 933.18 × 314.14
  4. Step 4: Simplify right side
    622.06x = 293,149.17
  5. Step 5: Solve for x
    x = 293,149.17/622.06
  6. Step 6: Final answer
    x = 471.26

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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.