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Finding the Fourth Proportional to 653.76, 902.16 and 420.96

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Solution

The fourth proportional to 653.76, 902.16 and 420.96 is: 580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.76 : 902.16 = 420.96 : x
  2. Step 2: Convert to fraction form
    653.76/902.16 = 420.96/x
  3. Step 3: Cross multiply
    653.76x = 902.16 × 420.96
  4. Step 4: Simplify right side
    653.76x = 379,773.27
  5. Step 5: Solve for x
    x = 379,773.27/653.76
  6. Step 6: Final answer
    x = 580.91

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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.