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Finding the Fourth Proportional to 623.24, 933.84 and 440.32

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Solution

The fourth proportional to 623.24, 933.84 and 440.32 is: 659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.24 : 933.84 = 440.32 : x
  2. Step 2: Convert to fraction form
    623.24/933.84 = 440.32/x
  3. Step 3: Cross multiply
    623.24x = 933.84 × 440.32
  4. Step 4: Simplify right side
    623.24x = 411,188.43
  5. Step 5: Solve for x
    x = 411,188.43/623.24
  6. Step 6: Final answer
    x = 659.76

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Why These Related Problems?

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