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Finding the Fourth Proportional to 609.32, 910.19 and 454.41

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Solution

The fourth proportional to 609.32, 910.19 and 454.41 is: 678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.32 : 910.19 = 454.41 : x
  2. Step 2: Convert to fraction form
    609.32/910.19 = 454.41/x
  3. Step 3: Cross multiply
    609.32x = 910.19 × 454.41
  4. Step 4: Simplify right side
    609.32x = 413,598.02
  5. Step 5: Solve for x
    x = 413,598.02/609.32
  6. Step 6: Final answer
    x = 678.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.