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Finding the Fourth Proportional to 431.99, 595.78 and 375.83

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Solution

The fourth proportional to 431.99, 595.78 and 375.83 is: 518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.99 : 595.78 = 375.83 : x
  2. Step 2: Convert to fraction form
    431.99/595.78 = 375.83/x
  3. Step 3: Cross multiply
    431.99x = 595.78 × 375.83
  4. Step 4: Simplify right side
    431.99x = 223,912.00
  5. Step 5: Solve for x
    x = 223,912.00/431.99
  6. Step 6: Final answer
    x = 518.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.