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Finding the Fourth Proportional to 591.80, 887.24 and 408.66

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Solution

The fourth proportional to 591.80, 887.24 and 408.66 is: 612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.80 : 887.24 = 408.66 : x
  2. Step 2: Convert to fraction form
    591.80/887.24 = 408.66/x
  3. Step 3: Cross multiply
    591.80x = 887.24 × 408.66
  4. Step 4: Simplify right side
    591.80x = 362,577.46
  5. Step 5: Solve for x
    x = 362,577.46/591.80
  6. Step 6: Final answer
    x = 612.67

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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.