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Finding the Fourth Proportional to 389.19, 537.08 and 214.53

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Solution

The fourth proportional to 389.19, 537.08 and 214.53 is: 296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.19 : 537.08 = 214.53 : x
  2. Step 2: Convert to fraction form
    389.19/537.08 = 214.53/x
  3. Step 3: Cross multiply
    389.19x = 537.08 × 214.53
  4. Step 4: Simplify right side
    389.19x = 115,218.70
  5. Step 5: Solve for x
    x = 115,218.70/389.19
  6. Step 6: Final answer
    x = 296.05

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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.