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Finding the Fourth Proportional to 365.14, 503.76 and 234.10

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Solution

The fourth proportional to 365.14, 503.76 and 234.10 is: 322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.14 : 503.76 = 234.10 : x
  2. Step 2: Convert to fraction form
    365.14/503.76 = 234.10/x
  3. Step 3: Cross multiply
    365.14x = 503.76 × 234.10
  4. Step 4: Simplify right side
    365.14x = 117,930.22
  5. Step 5: Solve for x
    x = 117,930.22/365.14
  6. Step 6: Final answer
    x = 322.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.