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Finding the Fourth Proportional to 468.35, 646.09 and 326.50

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Solution

The fourth proportional to 468.35, 646.09 and 326.50 is: 450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.35 : 646.09 = 326.50 : x
  2. Step 2: Convert to fraction form
    468.35/646.09 = 326.50/x
  3. Step 3: Cross multiply
    468.35x = 646.09 × 326.50
  4. Step 4: Simplify right side
    468.35x = 210,946.75
  5. Step 5: Solve for x
    x = 210,946.75/468.35
  6. Step 6: Final answer
    x = 450.40

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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.