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Finding the Fourth Proportional to 412.70, 619.11 and 152.82

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Solution

The fourth proportional to 412.70, 619.11 and 152.82 is: 229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.70 : 619.11 = 152.82 : x
  2. Step 2: Convert to fraction form
    412.70/619.11 = 152.82/x
  3. Step 3: Cross multiply
    412.70x = 619.11 × 152.82
  4. Step 4: Simplify right side
    412.70x = 94,612.39
  5. Step 5: Solve for x
    x = 94,612.39/412.70
  6. Step 6: Final answer
    x = 229.25

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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.