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Finding the Fourth Proportional to 401.84, 554.61 and 319.58

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Solution

The fourth proportional to 401.84, 554.61 and 319.58 is: 441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.84 : 554.61 = 319.58 : x
  2. Step 2: Convert to fraction form
    401.84/554.61 = 319.58/x
  3. Step 3: Cross multiply
    401.84x = 554.61 × 319.58
  4. Step 4: Simplify right side
    401.84x = 177,239.49
  5. Step 5: Solve for x
    x = 177,239.49/401.84
  6. Step 6: Final answer
    x = 441.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.