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Finding the Fourth Proportional to 859.42, 1,289.32 and 282.26

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Solution

The fourth proportional to 859.42, 1,289.32 and 282.26 is: 423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.42 : 1,289.32 = 282.26 : x
  2. Step 2: Convert to fraction form
    859.42/1,289.32 = 282.26/x
  3. Step 3: Cross multiply
    859.42x = 1,289.32 × 282.26
  4. Step 4: Simplify right side
    859.42x = 363,923.46
  5. Step 5: Solve for x
    x = 363,923.46/859.42
  6. Step 6: Final answer
    x = 423.45

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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.