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Finding the Fourth Proportional to 401.96, 554.54 and 297.29

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Solution

The fourth proportional to 401.96, 554.54 and 297.29 is: 410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.96 : 554.54 = 297.29 : x
  2. Step 2: Convert to fraction form
    401.96/554.54 = 297.29/x
  3. Step 3: Cross multiply
    401.96x = 554.54 × 297.29
  4. Step 4: Simplify right side
    401.96x = 164,859.20
  5. Step 5: Solve for x
    x = 164,859.20/401.96
  6. Step 6: Final answer
    x = 410.14

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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.