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Finding the Fourth Proportional to 486.16, 728.12 and 412.84

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Solution

The fourth proportional to 486.16, 728.12 and 412.84 is: 618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.16 : 728.12 = 412.84 : x
  2. Step 2: Convert to fraction form
    486.16/728.12 = 412.84/x
  3. Step 3: Cross multiply
    486.16x = 728.12 × 412.84
  4. Step 4: Simplify right side
    486.16x = 300,597.06
  5. Step 5: Solve for x
    x = 300,597.06/486.16
  6. Step 6: Final answer
    x = 618.31

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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.