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Finding the Fourth Proportional to 423.63, 584.24 and 313.38

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Solution

The fourth proportional to 423.63, 584.24 and 313.38 is: 432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.63 : 584.24 = 313.38 : x
  2. Step 2: Convert to fraction form
    423.63/584.24 = 313.38/x
  3. Step 3: Cross multiply
    423.63x = 584.24 × 313.38
  4. Step 4: Simplify right side
    423.63x = 183,087.56
  5. Step 5: Solve for x
    x = 183,087.56/423.63
  6. Step 6: Final answer
    x = 432.19

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Why These Related Problems?

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