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Finding the Fourth Proportional to 401.43, 554.74 and 296.64

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Solution

The fourth proportional to 401.43, 554.74 and 296.64 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.43 : 554.74 = 296.64 : x
  2. Step 2: Convert to fraction form
    401.43/554.74 = 296.64/x
  3. Step 3: Cross multiply
    401.43x = 554.74 × 296.64
  4. Step 4: Simplify right side
    401.43x = 164,557.33
  5. Step 5: Solve for x
    x = 164,557.33/401.43
  6. Step 6: Final answer
    x = 409.93

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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.