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Finding the Fourth Proportional to 412.37, 618.33 and 152.36

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Solution

The fourth proportional to 412.37, 618.33 and 152.36 is: 228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.37 : 618.33 = 152.36 : x
  2. Step 2: Convert to fraction form
    412.37/618.33 = 152.36/x
  3. Step 3: Cross multiply
    412.37x = 618.33 × 152.36
  4. Step 4: Simplify right side
    412.37x = 94,208.76
  5. Step 5: Solve for x
    x = 94,208.76/412.37
  6. Step 6: Final answer
    x = 228.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.