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Finding the Fourth Proportional to 310.56, 467.84 and 287.60

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Solution

The fourth proportional to 310.56, 467.84 and 287.60 is: 433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.56 : 467.84 = 287.60 : x
  2. Step 2: Convert to fraction form
    310.56/467.84 = 287.60/x
  3. Step 3: Cross multiply
    310.56x = 467.84 × 287.60
  4. Step 4: Simplify right side
    310.56x = 134,550.78
  5. Step 5: Solve for x
    x = 134,550.78/310.56
  6. Step 6: Final answer
    x = 433.25

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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.