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Finding the Fourth Proportional to 421.06, 580.64 and 362.26

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Solution

The fourth proportional to 421.06, 580.64 and 362.26 is: 499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.06 : 580.64 = 362.26 : x
  2. Step 2: Convert to fraction form
    421.06/580.64 = 362.26/x
  3. Step 3: Cross multiply
    421.06x = 580.64 × 362.26
  4. Step 4: Simplify right side
    421.06x = 210,342.65
  5. Step 5: Solve for x
    x = 210,342.65/421.06
  6. Step 6: Final answer
    x = 499.56

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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.