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Finding the Fourth Proportional to 646, 891.50 and 413.56

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Solution

The fourth proportional to 646, 891.50 and 413.56 is: 570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    646 : 891.50 = 413.56 : x
  2. Step 2: Convert to fraction form
    646/891.50 = 413.56/x
  3. Step 3: Cross multiply
    646x = 891.50 × 413.56
  4. Step 4: Simplify right side
    646x = 368,688.74
  5. Step 5: Solve for x
    x = 368,688.74/646
  6. Step 6: Final answer
    x = 570.73

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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.