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Finding the Fourth Proportional to 386.42, 533.16 and 253.62

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Solution

The fourth proportional to 386.42, 533.16 and 253.62 is: 349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.42 : 533.16 = 253.62 : x
  2. Step 2: Convert to fraction form
    386.42/533.16 = 253.62/x
  3. Step 3: Cross multiply
    386.42x = 533.16 × 253.62
  4. Step 4: Simplify right side
    386.42x = 135,220.04
  5. Step 5: Solve for x
    x = 135,220.04/386.42
  6. Step 6: Final answer
    x = 349.93

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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.