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Finding the Fourth Proportional to 346.05, 476.96 and 284.09

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Solution

The fourth proportional to 346.05, 476.96 and 284.09 is: 391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.05 : 476.96 = 284.09 : x
  2. Step 2: Convert to fraction form
    346.05/476.96 = 284.09/x
  3. Step 3: Cross multiply
    346.05x = 476.96 × 284.09
  4. Step 4: Simplify right side
    346.05x = 135,495.76
  5. Step 5: Solve for x
    x = 135,495.76/346.05
  6. Step 6: Final answer
    x = 391.55

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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.