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Finding the Fourth Proportional to 401.84, 555.06 and 297.14

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Solution

The fourth proportional to 401.84, 555.06 and 297.14 is: 410.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.84 : 555.06 = 297.14 : x
  2. Step 2: Convert to fraction form
    401.84/555.06 = 297.14/x
  3. Step 3: Cross multiply
    401.84x = 555.06 × 297.14
  4. Step 4: Simplify right side
    401.84x = 164,930.53
  5. Step 5: Solve for x
    x = 164,930.53/401.84
  6. Step 6: Final answer
    x = 410.44

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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.