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Finding the Fourth Proportional to 468.72, 646.25 and 337.50

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Solution

The fourth proportional to 468.72, 646.25 and 337.50 is: 465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.72 : 646.25 = 337.50 : x
  2. Step 2: Convert to fraction form
    468.72/646.25 = 337.50/x
  3. Step 3: Cross multiply
    468.72x = 646.25 × 337.50
  4. Step 4: Simplify right side
    468.72x = 218,107.69
  5. Step 5: Solve for x
    x = 218,107.69/468.72
  6. Step 6: Final answer
    x = 465.33

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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.