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Finding the Fourth Proportional to 645.56, 891.03 and 413.09

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Solution

The fourth proportional to 645.56, 891.03 and 413.09 is: 570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.56 : 891.03 = 413.09 : x
  2. Step 2: Convert to fraction form
    645.56/891.03 = 413.09/x
  3. Step 3: Cross multiply
    645.56x = 891.03 × 413.09
  4. Step 4: Simplify right side
    645.56x = 368,071.13
  5. Step 5: Solve for x
    x = 368,071.13/645.56
  6. Step 6: Final answer
    x = 570.16

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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.