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Finding the Fourth Proportional to 599.66, 828.60 and 575.36

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Solution

The fourth proportional to 599.66, 828.60 and 575.36 is: 795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.66 : 828.60 = 575.36 : x
  2. Step 2: Convert to fraction form
    599.66/828.60 = 575.36/x
  3. Step 3: Cross multiply
    599.66x = 828.60 × 575.36
  4. Step 4: Simplify right side
    599.66x = 476,743.30
  5. Step 5: Solve for x
    x = 476,743.30/599.66
  6. Step 6: Final answer
    x = 795.02

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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.