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Finding the Fourth Proportional to 413.24, 570.34 and 265.94

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Solution

The fourth proportional to 413.24, 570.34 and 265.94 is: 367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.24 : 570.34 = 265.94 : x
  2. Step 2: Convert to fraction form
    413.24/570.34 = 265.94/x
  3. Step 3: Cross multiply
    413.24x = 570.34 × 265.94
  4. Step 4: Simplify right side
    413.24x = 151,676.22
  5. Step 5: Solve for x
    x = 151,676.22/413.24
  6. Step 6: Final answer
    x = 367.04

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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.