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Finding the Fourth Proportional to 591.67, 887.50 and 464.23

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Solution

The fourth proportional to 591.67, 887.50 and 464.23 is: 696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.67 : 887.50 = 464.23 : x
  2. Step 2: Convert to fraction form
    591.67/887.50 = 464.23/x
  3. Step 3: Cross multiply
    591.67x = 887.50 × 464.23
  4. Step 4: Simplify right side
    591.67x = 412,002.49
  5. Step 5: Solve for x
    x = 412,002.49/591.67
  6. Step 6: Final answer
    x = 696.34

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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.