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Finding the Fourth Proportional to 465.51, 642.47 and 266.34

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Solution

The fourth proportional to 465.51, 642.47 and 266.34 is: 367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.51 : 642.47 = 266.34 : x
  2. Step 2: Convert to fraction form
    465.51/642.47 = 266.34/x
  3. Step 3: Cross multiply
    465.51x = 642.47 × 266.34
  4. Step 4: Simplify right side
    465.51x = 171,115.46
  5. Step 5: Solve for x
    x = 171,115.46/465.51
  6. Step 6: Final answer
    x = 367.59

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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.