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Finding the Fourth Proportional to 420.45, 579.86 and 262.92

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Solution

The fourth proportional to 420.45, 579.86 and 262.92 is: 362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.45 : 579.86 = 262.92 : x
  2. Step 2: Convert to fraction form
    420.45/579.86 = 262.92/x
  3. Step 3: Cross multiply
    420.45x = 579.86 × 262.92
  4. Step 4: Simplify right side
    420.45x = 152,456.79
  5. Step 5: Solve for x
    x = 152,456.79/420.45
  6. Step 6: Final answer
    x = 362.60

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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.