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Finding the Fourth Proportional to 902.34, 1,354.32 and 416.34

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Solution

The fourth proportional to 902.34, 1,354.32 and 416.34 is: 624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.34 : 1,354.32 = 416.34 : x
  2. Step 2: Convert to fraction form
    902.34/1,354.32 = 416.34/x
  3. Step 3: Cross multiply
    902.34x = 1,354.32 × 416.34
  4. Step 4: Simplify right side
    902.34x = 563,857.59
  5. Step 5: Solve for x
    x = 563,857.59/902.34
  6. Step 6: Final answer
    x = 624.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.