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Finding the Fourth Proportional to 654, 902.24 and 429.86

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Solution

The fourth proportional to 654, 902.24 and 429.86 is: 593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    654 : 902.24 = 429.86 : x
  2. Step 2: Convert to fraction form
    654/902.24 = 429.86/x
  3. Step 3: Cross multiply
    654x = 902.24 × 429.86
  4. Step 4: Simplify right side
    654x = 387,836.89
  5. Step 5: Solve for x
    x = 387,836.89/654
  6. Step 6: Final answer
    x = 593.02

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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.