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Finding the Fourth Proportional to 355.75, 488.33 and 340.72

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Solution

The fourth proportional to 355.75, 488.33 and 340.72 is: 467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.75 : 488.33 = 340.72 : x
  2. Step 2: Convert to fraction form
    355.75/488.33 = 340.72/x
  3. Step 3: Cross multiply
    355.75x = 488.33 × 340.72
  4. Step 4: Simplify right side
    355.75x = 166,383.80
  5. Step 5: Solve for x
    x = 166,383.80/355.75
  6. Step 6: Final answer
    x = 467.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.