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Finding the Fourth Proportional to 389.95, 538.13 and 215.30

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Solution

The fourth proportional to 389.95, 538.13 and 215.30 is: 297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.95 : 538.13 = 215.30 : x
  2. Step 2: Convert to fraction form
    389.95/538.13 = 215.30/x
  3. Step 3: Cross multiply
    389.95x = 538.13 × 215.30
  4. Step 4: Simplify right side
    389.95x = 115,859.39
  5. Step 5: Solve for x
    x = 115,859.39/389.95
  6. Step 6: Final answer
    x = 297.11

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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.