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Finding the Fourth Proportional to 478.42, 659.73 and 423.70

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Solution

The fourth proportional to 478.42, 659.73 and 423.70 is: 584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.42 : 659.73 = 423.70 : x
  2. Step 2: Convert to fraction form
    478.42/659.73 = 423.70/x
  3. Step 3: Cross multiply
    478.42x = 659.73 × 423.70
  4. Step 4: Simplify right side
    478.42x = 279,527.60
  5. Step 5: Solve for x
    x = 279,527.60/478.42
  6. Step 6: Final answer
    x = 584.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.