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Finding the Fourth Proportional to 394.30, 544.10 and 301.10

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Solution

The fourth proportional to 394.30, 544.10 and 301.10 is: 415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.30 : 544.10 = 301.10 : x
  2. Step 2: Convert to fraction form
    394.30/544.10 = 301.10/x
  3. Step 3: Cross multiply
    394.30x = 544.10 × 301.10
  4. Step 4: Simplify right side
    394.30x = 163,828.51
  5. Step 5: Solve for x
    x = 163,828.51/394.30
  6. Step 6: Final answer
    x = 415.49

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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.