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Finding the Fourth Proportional to 389.85, 538.25 and 316.32

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Solution

The fourth proportional to 389.85, 538.25 and 316.32 is: 436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.85 : 538.25 = 316.32 : x
  2. Step 2: Convert to fraction form
    389.85/538.25 = 316.32/x
  3. Step 3: Cross multiply
    389.85x = 538.25 × 316.32
  4. Step 4: Simplify right side
    389.85x = 170,259.24
  5. Step 5: Solve for x
    x = 170,259.24/389.85
  6. Step 6: Final answer
    x = 436.73

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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.