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Finding the Fourth Proportional to 465.23, 642.01 and 268.74

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Solution

The fourth proportional to 465.23, 642.01 and 268.74 is: 370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.23 : 642.01 = 268.74 : x
  2. Step 2: Convert to fraction form
    465.23/642.01 = 268.74/x
  3. Step 3: Cross multiply
    465.23x = 642.01 × 268.74
  4. Step 4: Simplify right side
    465.23x = 172,533.77
  5. Step 5: Solve for x
    x = 172,533.77/465.23
  6. Step 6: Final answer
    x = 370.86

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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.