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Finding the Fourth Proportional to 364.23, 543.26 and 306.81

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Solution

The fourth proportional to 364.23, 543.26 and 306.81 is: 457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.23 : 543.26 = 306.81 : x
  2. Step 2: Convert to fraction form
    364.23/543.26 = 306.81/x
  3. Step 3: Cross multiply
    364.23x = 543.26 × 306.81
  4. Step 4: Simplify right side
    364.23x = 166,678.37
  5. Step 5: Solve for x
    x = 166,678.37/364.23
  6. Step 6: Final answer
    x = 457.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.