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Finding the Fourth Proportional to 554.11, 764.54 and 406.49

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Solution

The fourth proportional to 554.11, 764.54 and 406.49 is: 560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.11 : 764.54 = 406.49 : x
  2. Step 2: Convert to fraction form
    554.11/764.54 = 406.49/x
  3. Step 3: Cross multiply
    554.11x = 764.54 × 406.49
  4. Step 4: Simplify right side
    554.11x = 310,773.53
  5. Step 5: Solve for x
    x = 310,773.53/554.11
  6. Step 6: Final answer
    x = 560.85

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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.