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Finding the Fourth Proportional to 412.77, 619.16 and 152.83

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Solution

The fourth proportional to 412.77, 619.16 and 152.83 is: 229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.77 : 619.16 = 152.83 : x
  2. Step 2: Convert to fraction form
    412.77/619.16 = 152.83/x
  3. Step 3: Cross multiply
    412.77x = 619.16 × 152.83
  4. Step 4: Simplify right side
    412.77x = 94,628.39
  5. Step 5: Solve for x
    x = 94,628.39/412.77
  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.