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Finding the Fourth Proportional to 401.80, 554.75 and 308.38

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Solution

The fourth proportional to 401.80, 554.75 and 308.38 is: 425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.80 : 554.75 = 308.38 : x
  2. Step 2: Convert to fraction form
    401.80/554.75 = 308.38/x
  3. Step 3: Cross multiply
    401.80x = 554.75 × 308.38
  4. Step 4: Simplify right side
    401.80x = 171,074.81
  5. Step 5: Solve for x
    x = 171,074.81/401.80
  6. Step 6: Final answer
    x = 425.77

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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.