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Finding the Fourth Proportional to 599.51, 899.27 and 433.97

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Solution

The fourth proportional to 599.51, 899.27 and 433.97 is: 650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.51 : 899.27 = 433.97 : x
  2. Step 2: Convert to fraction form
    599.51/899.27 = 433.97/x
  3. Step 3: Cross multiply
    599.51x = 899.27 × 433.97
  4. Step 4: Simplify right side
    599.51x = 390,254.54
  5. Step 5: Solve for x
    x = 390,254.54/599.51
  6. Step 6: Final answer
    x = 650.95

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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.