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Finding the Fourth Proportional to 420.26, 580.05 and 264.98

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Solution

The fourth proportional to 420.26, 580.05 and 264.98 is: 365.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.26 : 580.05 = 264.98 : x
  2. Step 2: Convert to fraction form
    420.26/580.05 = 264.98/x
  3. Step 3: Cross multiply
    420.26x = 580.05 × 264.98
  4. Step 4: Simplify right side
    420.26x = 153,701.65
  5. Step 5: Solve for x
    x = 153,701.65/420.26
  6. Step 6: Final answer
    x = 365.73

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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.