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Finding the Fourth Proportional to 599.21, 828.06 and 488.64

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Solution

The fourth proportional to 599.21, 828.06 and 488.64 is: 675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.21 : 828.06 = 488.64 : x
  2. Step 2: Convert to fraction form
    599.21/828.06 = 488.64/x
  3. Step 3: Cross multiply
    599.21x = 828.06 × 488.64
  4. Step 4: Simplify right side
    599.21x = 404,624.51
  5. Step 5: Solve for x
    x = 404,624.51/599.21
  6. Step 6: Final answer
    x = 675.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.