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Finding the Fourth Proportional to 468.57, 645.06 and 421.59

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Solution

The fourth proportional to 468.57, 645.06 and 421.59 is: 580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.57 : 645.06 = 421.59 : x
  2. Step 2: Convert to fraction form
    468.57/645.06 = 421.59/x
  3. Step 3: Cross multiply
    468.57x = 645.06 × 421.59
  4. Step 4: Simplify right side
    468.57x = 271,950.85
  5. Step 5: Solve for x
    x = 271,950.85/468.57
  6. Step 6: Final answer
    x = 580.38

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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.