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Finding the Fourth Proportional to 599.52, 899.54 and 325.88

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Solution

The fourth proportional to 599.52, 899.54 and 325.88 is: 488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.52 : 899.54 = 325.88 : x
  2. Step 2: Convert to fraction form
    599.52/899.54 = 325.88/x
  3. Step 3: Cross multiply
    599.52x = 899.54 × 325.88
  4. Step 4: Simplify right side
    599.52x = 293,142.10
  5. Step 5: Solve for x
    x = 293,142.10/599.52
  6. Step 6: Final answer
    x = 488.96

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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.