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Finding the Fourth Proportional to 619.06, 854.39 and 406.56

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Solution

The fourth proportional to 619.06, 854.39 and 406.56 is: 561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.06 : 854.39 = 406.56 : x
  2. Step 2: Convert to fraction form
    619.06/854.39 = 406.56/x
  3. Step 3: Cross multiply
    619.06x = 854.39 × 406.56
  4. Step 4: Simplify right side
    619.06x = 347,354.49
  5. Step 5: Solve for x
    x = 347,354.49/619.06
  6. Step 6: Final answer
    x = 561.10

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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.