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Finding the Fourth Proportional to 386.64, 533.16 and 303.84

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Solution

The fourth proportional to 386.64, 533.16 and 303.84 is: 418.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.64 : 533.16 = 303.84 : x
  2. Step 2: Convert to fraction form
    386.64/533.16 = 303.84/x
  3. Step 3: Cross multiply
    386.64x = 533.16 × 303.84
  4. Step 4: Simplify right side
    386.64x = 161,995.33
  5. Step 5: Solve for x
    x = 161,995.33/386.64
  6. Step 6: Final answer
    x = 418.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.