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Finding the Fourth Proportional to 590, 884.24 and 347.12

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Solution

The fourth proportional to 590, 884.24 and 347.12 is: 520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    590 : 884.24 = 347.12 : x
  2. Step 2: Convert to fraction form
    590/884.24 = 347.12/x
  3. Step 3: Cross multiply
    590x = 884.24 × 347.12
  4. Step 4: Simplify right side
    590x = 306,937.39
  5. Step 5: Solve for x
    x = 306,937.39/590
  6. Step 6: Final answer
    x = 520.23

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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.