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Finding the Fourth Proportional to 559.83, 839.76 and 189.63

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Solution

The fourth proportional to 559.83, 839.76 and 189.63 is: 284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.83 : 839.76 = 189.63 : x
  2. Step 2: Convert to fraction form
    559.83/839.76 = 189.63/x
  3. Step 3: Cross multiply
    559.83x = 839.76 × 189.63
  4. Step 4: Simplify right side
    559.83x = 159,242.64
  5. Step 5: Solve for x
    x = 159,242.64/559.83
  6. Step 6: Final answer
    x = 284.45

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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.