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Finding the Fourth Proportional to 623.16, 933.83 and 440.91

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Solution

The fourth proportional to 623.16, 933.83 and 440.91 is: 660.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.16 : 933.83 = 440.91 : x
  2. Step 2: Convert to fraction form
    623.16/933.83 = 440.91/x
  3. Step 3: Cross multiply
    623.16x = 933.83 × 440.91
  4. Step 4: Simplify right side
    623.16x = 411,734.43
  5. Step 5: Solve for x
    x = 411,734.43/623.16
  6. Step 6: Final answer
    x = 660.72

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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.