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Finding the Fourth Proportional to 355.74, 535.70 and 310.62

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Solution

The fourth proportional to 355.74, 535.70 and 310.62 is: 467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.74 : 535.70 = 310.62 : x
  2. Step 2: Convert to fraction form
    355.74/535.70 = 310.62/x
  3. Step 3: Cross multiply
    355.74x = 535.70 × 310.62
  4. Step 4: Simplify right side
    355.74x = 166,399.13
  5. Step 5: Solve for x
    x = 166,399.13/355.74
  6. Step 6: Final answer
    x = 467.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.