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Finding the Fourth Proportional to 364.41, 502.35 and 320.33

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Solution

The fourth proportional to 364.41, 502.35 and 320.33 is: 441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.41 : 502.35 = 320.33 : x
  2. Step 2: Convert to fraction form
    364.41/502.35 = 320.33/x
  3. Step 3: Cross multiply
    364.41x = 502.35 × 320.33
  4. Step 4: Simplify right side
    364.41x = 160,915.26
  5. Step 5: Solve for x
    x = 160,915.26/364.41
  6. Step 6: Final answer
    x = 441.58

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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.