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Finding the Fourth Proportional to 343.08, 474.10 and 299.88

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Solution

The fourth proportional to 343.08, 474.10 and 299.88 is: 414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.08 : 474.10 = 299.88 : x
  2. Step 2: Convert to fraction form
    343.08/474.10 = 299.88/x
  3. Step 3: Cross multiply
    343.08x = 474.10 × 299.88
  4. Step 4: Simplify right side
    343.08x = 142,173.11
  5. Step 5: Solve for x
    x = 142,173.11/343.08
  6. Step 6: Final answer
    x = 414.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.