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Finding the Fourth Proportional to 623.42, 933.91 and 478.43

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Solution

The fourth proportional to 623.42, 933.91 and 478.43 is: 716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.42 : 933.91 = 478.43 : x
  2. Step 2: Convert to fraction form
    623.42/933.91 = 478.43/x
  3. Step 3: Cross multiply
    623.42x = 933.91 × 478.43
  4. Step 4: Simplify right side
    623.42x = 446,810.56
  5. Step 5: Solve for x
    x = 446,810.56/623.42
  6. Step 6: Final answer
    x = 716.71

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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.