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Finding the Fourth Proportional to 389.98, 538.18 and 215.33

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Solution

The fourth proportional to 389.98, 538.18 and 215.33 is: 297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.98 : 538.18 = 215.33 : x
  2. Step 2: Convert to fraction form
    389.98/538.18 = 215.33/x
  3. Step 3: Cross multiply
    389.98x = 538.18 × 215.33
  4. Step 4: Simplify right side
    389.98x = 115,886.30
  5. Step 5: Solve for x
    x = 115,886.30/389.98
  6. Step 6: Final answer
    x = 297.16

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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.