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Finding the Fourth Proportional to 363.60, 505.26 and 362.16

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Solution

The fourth proportional to 363.60, 505.26 and 362.16 is: 503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.60 : 505.26 = 362.16 : x
  2. Step 2: Convert to fraction form
    363.60/505.26 = 362.16/x
  3. Step 3: Cross multiply
    363.60x = 505.26 × 362.16
  4. Step 4: Simplify right side
    363.60x = 182,984.96
  5. Step 5: Solve for x
    x = 182,984.96/363.60
  6. Step 6: Final answer
    x = 503.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.