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Finding the Fourth Proportional to 495.39, 742.37 and 364.36

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Solution

The fourth proportional to 495.39, 742.37 and 364.36 is: 546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.39 : 742.37 = 364.36 : x
  2. Step 2: Convert to fraction form
    495.39/742.37 = 364.36/x
  3. Step 3: Cross multiply
    495.39x = 742.37 × 364.36
  4. Step 4: Simplify right side
    495.39x = 270,489.93
  5. Step 5: Solve for x
    x = 270,489.93/495.39
  6. Step 6: Final answer
    x = 546.01

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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.