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Finding the Fourth Proportional to 412.38, 618.40 and 152.33

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Solution

The fourth proportional to 412.38, 618.40 and 152.33 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.38 : 618.40 = 152.33 : x
  2. Step 2: Convert to fraction form
    412.38/618.40 = 152.33/x
  3. Step 3: Cross multiply
    412.38x = 618.40 × 152.33
  4. Step 4: Simplify right side
    412.38x = 94,197.40
  5. Step 5: Solve for x
    x = 94,197.40/412.38
  6. Step 6: Final answer
    x = 228.42

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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.