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Finding the Fourth Proportional to 423.63, 584.01 and 318.74

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Solution

The fourth proportional to 423.63, 584.01 and 318.74 is: 439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.63 : 584.01 = 318.74 : x
  2. Step 2: Convert to fraction form
    423.63/584.01 = 318.74/x
  3. Step 3: Cross multiply
    423.63x = 584.01 × 318.74
  4. Step 4: Simplify right side
    423.63x = 186,144.43
  5. Step 5: Solve for x
    x = 186,144.43/423.63
  6. Step 6: Final answer
    x = 439.40

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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.