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Finding the Fourth Proportional to 346.41, 476.55 and 299.43

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Solution

The fourth proportional to 346.41, 476.55 and 299.43 is: 411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.41 : 476.55 = 299.43 : x
  2. Step 2: Convert to fraction form
    346.41/476.55 = 299.43/x
  3. Step 3: Cross multiply
    346.41x = 476.55 × 299.43
  4. Step 4: Simplify right side
    346.41x = 142,693.37
  5. Step 5: Solve for x
    x = 142,693.37/346.41
  6. Step 6: Final answer
    x = 411.92

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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.