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Finding the Fourth Proportional to 401.75, 554.06 and 296.99

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Solution

The fourth proportional to 401.75, 554.06 and 296.99 is: 409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.75 : 554.06 = 296.99 : x
  2. Step 2: Convert to fraction form
    401.75/554.06 = 296.99/x
  3. Step 3: Cross multiply
    401.75x = 554.06 × 296.99
  4. Step 4: Simplify right side
    401.75x = 164,548.25
  5. Step 5: Solve for x
    x = 164,548.25/401.75
  6. Step 6: Final answer
    x = 409.58

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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.