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Finding the Fourth Proportional to 412.92, 619.45 and 152.93

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Solution

The fourth proportional to 412.92, 619.45 and 152.93 is: 229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.92 : 619.45 = 152.93 : x
  2. Step 2: Convert to fraction form
    412.92/619.45 = 152.93/x
  3. Step 3: Cross multiply
    412.92x = 619.45 × 152.93
  4. Step 4: Simplify right side
    412.92x = 94,733.65
  5. Step 5: Solve for x
    x = 94,733.65/412.92
  6. Step 6: Final answer
    x = 229.42

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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.