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Finding the Fourth Proportional to 343.85, 516.58 and 317.12

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Solution

The fourth proportional to 343.85, 516.58 and 317.12 is: 476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.85 : 516.58 = 317.12 : x
  2. Step 2: Convert to fraction form
    343.85/516.58 = 317.12/x
  3. Step 3: Cross multiply
    343.85x = 516.58 × 317.12
  4. Step 4: Simplify right side
    343.85x = 163,814.47
  5. Step 5: Solve for x
    x = 163,814.47/343.85
  6. Step 6: Final answer
    x = 476.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.