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Finding the Fourth Proportional to 599.46, 832.23 and 581.64

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Solution

The fourth proportional to 599.46, 832.23 and 581.64 is: 807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.46 : 832.23 = 581.64 : x
  2. Step 2: Convert to fraction form
    599.46/832.23 = 581.64/x
  3. Step 3: Cross multiply
    599.46x = 832.23 × 581.64
  4. Step 4: Simplify right side
    599.46x = 484,058.26
  5. Step 5: Solve for x
    x = 484,058.26/599.46
  6. Step 6: Final answer
    x = 807.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.