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Finding the Fourth Proportional to 412.08, 617.94 and 152.06

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Solution

The fourth proportional to 412.08, 617.94 and 152.06 is: 228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.08 : 617.94 = 152.06 : x
  2. Step 2: Convert to fraction form
    412.08/617.94 = 152.06/x
  3. Step 3: Cross multiply
    412.08x = 617.94 × 152.06
  4. Step 4: Simplify right side
    412.08x = 93,963.96
  5. Step 5: Solve for x
    x = 93,963.96/412.08
  6. Step 6: Final answer
    x = 228.02

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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.