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Finding the Fourth Proportional to 364.51, 503.31 and 233.74

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Solution

The fourth proportional to 364.51, 503.31 and 233.74 is: 322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.51 : 503.31 = 233.74 : x
  2. Step 2: Convert to fraction form
    364.51/503.31 = 233.74/x
  3. Step 3: Cross multiply
    364.51x = 503.31 × 233.74
  4. Step 4: Simplify right side
    364.51x = 117,643.68
  5. Step 5: Solve for x
    x = 117,643.68/364.51
  6. Step 6: Final answer
    x = 322.74

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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.