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Finding the Fourth Proportional to 413.47, 619.52 and 291.47

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Solution

The fourth proportional to 413.47, 619.52 and 291.47 is: 436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.47 : 619.52 = 291.47 : x
  2. Step 2: Convert to fraction form
    413.47/619.52 = 291.47/x
  3. Step 3: Cross multiply
    413.47x = 619.52 × 291.47
  4. Step 4: Simplify right side
    413.47x = 180,571.49
  5. Step 5: Solve for x
    x = 180,571.49/413.47
  6. Step 6: Final answer
    x = 436.72

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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.