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Finding the Fourth Proportional to 393.89, 592.46 and 356.63

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Solution

The fourth proportional to 393.89, 592.46 and 356.63 is: 536.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.89 : 592.46 = 356.63 : x
  2. Step 2: Convert to fraction form
    393.89/592.46 = 356.63/x
  3. Step 3: Cross multiply
    393.89x = 592.46 × 356.63
  4. Step 4: Simplify right side
    393.89x = 211,291.38
  5. Step 5: Solve for x
    x = 211,291.38/393.89
  6. Step 6: Final answer
    x = 536.42

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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.