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Finding the Fourth Proportional to 465.90, 642.97 and 266.77

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Solution

The fourth proportional to 465.90, 642.97 and 266.77 is: 368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.90 : 642.97 = 266.77 : x
  2. Step 2: Convert to fraction form
    465.90/642.97 = 266.77/x
  3. Step 3: Cross multiply
    465.90x = 642.97 × 266.77
  4. Step 4: Simplify right side
    465.90x = 171,521.73
  5. Step 5: Solve for x
    x = 171,521.73/465.90
  6. Step 6: Final answer
    x = 368.15

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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.