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Finding the Fourth Proportional to 465.68, 642.60 and 266.57

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Solution

The fourth proportional to 465.68, 642.60 and 266.57 is: 367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.68 : 642.60 = 266.57 : x
  2. Step 2: Convert to fraction form
    465.68/642.60 = 266.57/x
  3. Step 3: Cross multiply
    465.68x = 642.60 × 266.57
  4. Step 4: Simplify right side
    465.68x = 171,300.69
  5. Step 5: Solve for x
    x = 171,300.69/465.68
  6. Step 6: Final answer
    x = 367.85

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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.