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Finding the Fourth Proportional to 768.65, 1,152.81 and 306.35

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Solution

The fourth proportional to 768.65, 1,152.81 and 306.35 is: 459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.65 : 1,152.81 = 306.35 : x
  2. Step 2: Convert to fraction form
    768.65/1,152.81 = 306.35/x
  3. Step 3: Cross multiply
    768.65x = 1,152.81 × 306.35
  4. Step 4: Simplify right side
    768.65x = 353,163.34
  5. Step 5: Solve for x
    x = 353,163.34/768.65
  6. Step 6: Final answer
    x = 459.46

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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.