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Finding the Fourth Proportional to 468.37, 646.14 and 271.77

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Solution

The fourth proportional to 468.37, 646.14 and 271.77 is: 374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.37 : 646.14 = 271.77 : x
  2. Step 2: Convert to fraction form
    468.37/646.14 = 271.77/x
  3. Step 3: Cross multiply
    468.37x = 646.14 × 271.77
  4. Step 4: Simplify right side
    468.37x = 175,601.47
  5. Step 5: Solve for x
    x = 175,601.47/468.37
  6. Step 6: Final answer
    x = 374.92

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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.