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Finding the Fourth Proportional to 653.24, 902.08 and 420.78

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Solution

The fourth proportional to 653.24, 902.08 and 420.78 is: 581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.24 : 902.08 = 420.78 : x
  2. Step 2: Convert to fraction form
    653.24/902.08 = 420.78/x
  3. Step 3: Cross multiply
    653.24x = 902.08 × 420.78
  4. Step 4: Simplify right side
    653.24x = 379,577.22
  5. Step 5: Solve for x
    x = 379,577.22/653.24
  6. Step 6: Final answer
    x = 581.07

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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.