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Finding the Fourth Proportional to 599.15, 825.66 and 433.05

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Solution

The fourth proportional to 599.15, 825.66 and 433.05 is: 596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.15 : 825.66 = 433.05 : x
  2. Step 2: Convert to fraction form
    599.15/825.66 = 433.05/x
  3. Step 3: Cross multiply
    599.15x = 825.66 × 433.05
  4. Step 4: Simplify right side
    599.15x = 357,552.06
  5. Step 5: Solve for x
    x = 357,552.06/599.15
  6. Step 6: Final answer
    x = 596.77

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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.