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Finding the Fourth Proportional to 554.14, 764.71 and 305.49

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Solution

The fourth proportional to 554.14, 764.71 and 305.49 is: 421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.14 : 764.71 = 305.49 : x
  2. Step 2: Convert to fraction form
    554.14/764.71 = 305.49/x
  3. Step 3: Cross multiply
    554.14x = 764.71 × 305.49
  4. Step 4: Simplify right side
    554.14x = 233,605.91
  5. Step 5: Solve for x
    x = 233,605.91/554.14
  6. Step 6: Final answer
    x = 421.56

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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.