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Finding the Fourth Proportional to 346.02, 477.14 and 293.78

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Solution

The fourth proportional to 346.02, 477.14 and 293.78 is: 405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.02 : 477.14 = 293.78 : x
  2. Step 2: Convert to fraction form
    346.02/477.14 = 293.78/x
  3. Step 3: Cross multiply
    346.02x = 477.14 × 293.78
  4. Step 4: Simplify right side
    346.02x = 140,170.33
  5. Step 5: Solve for x
    x = 140,170.33/346.02
  6. Step 6: Final answer
    x = 405.09

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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.