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Finding the Fourth Proportional to 599.64, 899.62 and 365.64

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Solution

The fourth proportional to 599.64, 899.62 and 365.64 is: 548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.64 : 899.62 = 365.64 : x
  2. Step 2: Convert to fraction form
    599.64/899.62 = 365.64/x
  3. Step 3: Cross multiply
    599.64x = 899.62 × 365.64
  4. Step 4: Simplify right side
    599.64x = 328,937.06
  5. Step 5: Solve for x
    x = 328,937.06/599.64
  6. Step 6: Final answer
    x = 548.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.