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Finding the Fourth Proportional to 653.49, 902.42 and 421.02

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Solution

The fourth proportional to 653.49, 902.42 and 421.02 is: 581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.49 : 902.42 = 421.02 : x
  2. Step 2: Convert to fraction form
    653.49/902.42 = 421.02/x
  3. Step 3: Cross multiply
    653.49x = 902.42 × 421.02
  4. Step 4: Simplify right side
    653.49x = 379,936.87
  5. Step 5: Solve for x
    x = 379,936.87/653.49
  6. Step 6: Final answer
    x = 581.40

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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.