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Finding the Fourth Proportional to 653.98, 902.10 and 421.24

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Solution

The fourth proportional to 653.98, 902.10 and 421.24 is: 581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.98 : 902.10 = 421.24 : x
  2. Step 2: Convert to fraction form
    653.98/902.10 = 421.24/x
  3. Step 3: Cross multiply
    653.98x = 902.10 × 421.24
  4. Step 4: Simplify right side
    653.98x = 380,000.60
  5. Step 5: Solve for x
    x = 380,000.60/653.98
  6. Step 6: Final answer
    x = 581.06

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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.