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Finding the Fourth Proportional to 653.78, 902.21 and 420.91

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Solution

The fourth proportional to 653.78, 902.21 and 420.91 is: 580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.78 : 902.21 = 420.91 : x
  2. Step 2: Convert to fraction form
    653.78/902.21 = 420.91/x
  3. Step 3: Cross multiply
    653.78x = 902.21 × 420.91
  4. Step 4: Simplify right side
    653.78x = 379,744.85
  5. Step 5: Solve for x
    x = 379,744.85/653.78
  6. Step 6: Final answer
    x = 580.84

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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.