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Finding the Fourth Proportional to 622.35, 933.99 and 460.47

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Solution

The fourth proportional to 622.35, 933.99 and 460.47 is: 691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.35 : 933.99 = 460.47 : x
  2. Step 2: Convert to fraction form
    622.35/933.99 = 460.47/x
  3. Step 3: Cross multiply
    622.35x = 933.99 × 460.47
  4. Step 4: Simplify right side
    622.35x = 430,074.38
  5. Step 5: Solve for x
    x = 430,074.38/622.35
  6. Step 6: Final answer
    x = 691.05

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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.