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Finding the Fourth Proportional to 364.83, 503.44 and 233.88

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Solution

The fourth proportional to 364.83, 503.44 and 233.88 is: 322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.83 : 503.44 = 233.88 : x
  2. Step 2: Convert to fraction form
    364.83/503.44 = 233.88/x
  3. Step 3: Cross multiply
    364.83x = 503.44 × 233.88
  4. Step 4: Simplify right side
    364.83x = 117,744.55
  5. Step 5: Solve for x
    x = 117,744.55/364.83
  6. Step 6: Final answer
    x = 322.74

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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.