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Finding the Fourth Proportional to 413.07, 618 and 297.78

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Solution

The fourth proportional to 413.07, 618 and 297.78 is: 445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.07 : 618 = 297.78 : x
  2. Step 2: Convert to fraction form
    413.07/618 = 297.78/x
  3. Step 3: Cross multiply
    413.07x = 618 × 297.78
  4. Step 4: Simplify right side
    413.07x = 184,028.04
  5. Step 5: Solve for x
    x = 184,028.04/413.07
  6. Step 6: Final answer
    x = 445.51

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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.