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Finding the Fourth Proportional to 942.84, 1,413.81 and 284.49

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Solution

The fourth proportional to 942.84, 1,413.81 and 284.49 is: 426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.84 : 1,413.81 = 284.49 : x
  2. Step 2: Convert to fraction form
    942.84/1,413.81 = 284.49/x
  3. Step 3: Cross multiply
    942.84x = 1,413.81 × 284.49
  4. Step 4: Simplify right side
    942.84x = 402,214.81
  5. Step 5: Solve for x
    x = 402,214.81/942.84
  6. Step 6: Final answer
    x = 426.60

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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.