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Finding the Fourth Proportional to 344.14, 474.73 and 295.14

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Solution

The fourth proportional to 344.14, 474.73 and 295.14 is: 407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.14 : 474.73 = 295.14 : x
  2. Step 2: Convert to fraction form
    344.14/474.73 = 295.14/x
  3. Step 3: Cross multiply
    344.14x = 474.73 × 295.14
  4. Step 4: Simplify right side
    344.14x = 140,111.81
  5. Step 5: Solve for x
    x = 140,111.81/344.14
  6. Step 6: Final answer
    x = 407.14

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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.