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Finding the Fourth Proportional to 423.25, 583.67 and 299.54

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Solution

The fourth proportional to 423.25, 583.67 and 299.54 is: 413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.25 : 583.67 = 299.54 : x
  2. Step 2: Convert to fraction form
    423.25/583.67 = 299.54/x
  3. Step 3: Cross multiply
    423.25x = 583.67 × 299.54
  4. Step 4: Simplify right side
    423.25x = 174,834.72
  5. Step 5: Solve for x
    x = 174,834.72/423.25
  6. Step 6: Final answer
    x = 413.08

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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.