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Finding the Fourth Proportional to 346.78, 477.46 and 294.21

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Solution

The fourth proportional to 346.78, 477.46 and 294.21 is: 405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.78 : 477.46 = 294.21 : x
  2. Step 2: Convert to fraction form
    346.78/477.46 = 294.21/x
  3. Step 3: Cross multiply
    346.78x = 477.46 × 294.21
  4. Step 4: Simplify right side
    346.78x = 140,473.51
  5. Step 5: Solve for x
    x = 140,473.51/346.78
  6. Step 6: Final answer
    x = 405.08

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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.