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Finding the Fourth Proportional to 433.65, 597.99 and 371.67

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Solution

The fourth proportional to 433.65, 597.99 and 371.67 is: 512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.65 : 597.99 = 371.67 : x
  2. Step 2: Convert to fraction form
    433.65/597.99 = 371.67/x
  3. Step 3: Cross multiply
    433.65x = 597.99 × 371.67
  4. Step 4: Simplify right side
    433.65x = 222,254.94
  5. Step 5: Solve for x
    x = 222,254.94/433.65
  6. Step 6: Final answer
    x = 512.52

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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.