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Finding the Fourth Proportional to 468.47, 646.41 and 271.98

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Solution

The fourth proportional to 468.47, 646.41 and 271.98 is: 375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.47 : 646.41 = 271.98 : x
  2. Step 2: Convert to fraction form
    468.47/646.41 = 271.98/x
  3. Step 3: Cross multiply
    468.47x = 646.41 × 271.98
  4. Step 4: Simplify right side
    468.47x = 175,811.61
  5. Step 5: Solve for x
    x = 175,811.61/468.47
  6. Step 6: Final answer
    x = 375.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.