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Finding the Fourth Proportional to 598.56, 825.65 and 349.85

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Solution

The fourth proportional to 598.56, 825.65 and 349.85 is: 482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.56 : 825.65 = 349.85 : x
  2. Step 2: Convert to fraction form
    598.56/825.65 = 349.85/x
  3. Step 3: Cross multiply
    598.56x = 825.65 × 349.85
  4. Step 4: Simplify right side
    598.56x = 288,853.65
  5. Step 5: Solve for x
    x = 288,853.65/598.56
  6. Step 6: Final answer
    x = 482.58

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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.