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Finding the Fourth Proportional to 423.68, 583.74 and 323.92

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Solution

The fourth proportional to 423.68, 583.74 and 323.92 is: 446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.68 : 583.74 = 323.92 : x
  2. Step 2: Convert to fraction form
    423.68/583.74 = 323.92/x
  3. Step 3: Cross multiply
    423.68x = 583.74 × 323.92
  4. Step 4: Simplify right side
    423.68x = 189,085.06
  5. Step 5: Solve for x
    x = 189,085.06/423.68
  6. Step 6: Final answer
    x = 446.29

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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.