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Finding the Fourth Proportional to 653.74, 902.21 and 429.82

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Solution

The fourth proportional to 653.74, 902.21 and 429.82 is: 593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.74 : 902.21 = 429.82 : x
  2. Step 2: Convert to fraction form
    653.74/902.21 = 429.82/x
  3. Step 3: Cross multiply
    653.74x = 902.21 × 429.82
  4. Step 4: Simplify right side
    653.74x = 387,787.90
  5. Step 5: Solve for x
    x = 387,787.90/653.74
  6. Step 6: Final answer
    x = 593.18

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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.