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Finding the Fourth Proportional to 465.23, 642.04 and 278.80

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Solution

The fourth proportional to 465.23, 642.04 and 278.80 is: 384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.23 : 642.04 = 278.80 : x
  2. Step 2: Convert to fraction form
    465.23/642.04 = 278.80/x
  3. Step 3: Cross multiply
    465.23x = 642.04 × 278.80
  4. Step 4: Simplify right side
    465.23x = 179,000.75
  5. Step 5: Solve for x
    x = 179,000.75/465.23
  6. Step 6: Final answer
    x = 384.76

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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.