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Finding the Fourth Proportional to 468.36, 646.35 and 281.86

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Solution

The fourth proportional to 468.36, 646.35 and 281.86 is: 388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.36 : 646.35 = 281.86 : x
  2. Step 2: Convert to fraction form
    468.36/646.35 = 281.86/x
  3. Step 3: Cross multiply
    468.36x = 646.35 × 281.86
  4. Step 4: Simplify right side
    468.36x = 182,180.21
  5. Step 5: Solve for x
    x = 182,180.21/468.36
  6. Step 6: Final answer
    x = 388.98

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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.