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Finding the Fourth Proportional to 678.66, 936.57 and 413.02

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Solution

The fourth proportional to 678.66, 936.57 and 413.02 is: 569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.66 : 936.57 = 413.02 : x
  2. Step 2: Convert to fraction form
    678.66/936.57 = 413.02/x
  3. Step 3: Cross multiply
    678.66x = 936.57 × 413.02
  4. Step 4: Simplify right side
    678.66x = 386,822.14
  5. Step 5: Solve for x
    x = 386,822.14/678.66
  6. Step 6: Final answer
    x = 569.98

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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.