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Finding the Fourth Proportional to 423.96, 584.70 and 258.12

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Solution

The fourth proportional to 423.96, 584.70 and 258.12 is: 355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.96 : 584.70 = 258.12 : x
  2. Step 2: Convert to fraction form
    423.96/584.70 = 258.12/x
  3. Step 3: Cross multiply
    423.96x = 584.70 × 258.12
  4. Step 4: Simplify right side
    423.96x = 150,922.76
  5. Step 5: Solve for x
    x = 150,922.76/423.96
  6. Step 6: Final answer
    x = 355.98

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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.