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Finding the Fourth Proportional to 423.08, 583.84 and 236.58

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Solution

The fourth proportional to 423.08, 583.84 and 236.58 is: 326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.08 : 583.84 = 236.58 : x
  2. Step 2: Convert to fraction form
    423.08/583.84 = 236.58/x
  3. Step 3: Cross multiply
    423.08x = 583.84 × 236.58
  4. Step 4: Simplify right side
    423.08x = 138,124.87
  5. Step 5: Solve for x
    x = 138,124.87/423.08
  6. Step 6: Final answer
    x = 326.47

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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.