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Finding the Fourth Proportional to 343.59, 474.84 and 310.65

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Solution

The fourth proportional to 343.59, 474.84 and 310.65 is: 429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.59 : 474.84 = 310.65 : x
  2. Step 2: Convert to fraction form
    343.59/474.84 = 310.65/x
  3. Step 3: Cross multiply
    343.59x = 474.84 × 310.65
  4. Step 4: Simplify right side
    343.59x = 147,509.05
  5. Step 5: Solve for x
    x = 147,509.05/343.59
  6. Step 6: Final answer
    x = 429.32

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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.