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Finding the Fourth Proportional to 468.64, 646.86 and 321.64

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Solution

The fourth proportional to 468.64, 646.86 and 321.64 is: 443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.64 : 646.86 = 321.64 : x
  2. Step 2: Convert to fraction form
    468.64/646.86 = 321.64/x
  3. Step 3: Cross multiply
    468.64x = 646.86 × 321.64
  4. Step 4: Simplify right side
    468.64x = 208,056.05
  5. Step 5: Solve for x
    x = 208,056.05/468.64
  6. Step 6: Final answer
    x = 443.96

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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.