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Finding the Fourth Proportional to 413.30, 619.26 and 291.34

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Solution

The fourth proportional to 413.30, 619.26 and 291.34 is: 436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.30 : 619.26 = 291.34 : x
  2. Step 2: Convert to fraction form
    413.30/619.26 = 291.34/x
  3. Step 3: Cross multiply
    413.30x = 619.26 × 291.34
  4. Step 4: Simplify right side
    413.30x = 180,415.21
  5. Step 5: Solve for x
    x = 180,415.21/413.30
  6. Step 6: Final answer
    x = 436.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.