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Finding the Fourth Proportional to 859.24, 1,185.76 and 466.27

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Solution

The fourth proportional to 859.24, 1,185.76 and 466.27 is: 643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.24 : 1,185.76 = 466.27 : x
  2. Step 2: Convert to fraction form
    859.24/1,185.76 = 466.27/x
  3. Step 3: Cross multiply
    859.24x = 1,185.76 × 466.27
  4. Step 4: Simplify right side
    859.24x = 552,884.32
  5. Step 5: Solve for x
    x = 552,884.32/859.24
  6. Step 6: Final answer
    x = 643.46

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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.