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Finding the Fourth Proportional to 412.80, 619.28 and 152.80

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Solution

The fourth proportional to 412.80, 619.28 and 152.80 is: 229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.80 : 619.28 = 152.80 : x
  2. Step 2: Convert to fraction form
    412.80/619.28 = 152.80/x
  3. Step 3: Cross multiply
    412.80x = 619.28 × 152.80
  4. Step 4: Simplify right side
    412.80x = 94,624.82
  5. Step 5: Solve for x
    x = 94,624.82/412.80
  6. Step 6: Final answer
    x = 229.23

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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.