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Finding the Fourth Proportional to 343.67, 474.08 and 260.64

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Solution

The fourth proportional to 343.67, 474.08 and 260.64 is: 359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.67 : 474.08 = 260.64 : x
  2. Step 2: Convert to fraction form
    343.67/474.08 = 260.64/x
  3. Step 3: Cross multiply
    343.67x = 474.08 × 260.64
  4. Step 4: Simplify right side
    343.67x = 123,563.89
  5. Step 5: Solve for x
    x = 123,563.89/343.67
  6. Step 6: Final answer
    x = 359.54

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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.