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Finding the Fourth Proportional to 389.30, 537.21 and 214.64

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Solution

The fourth proportional to 389.30, 537.21 and 214.64 is: 296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.30 : 537.21 = 214.64 : x
  2. Step 2: Convert to fraction form
    389.30/537.21 = 214.64/x
  3. Step 3: Cross multiply
    389.30x = 537.21 × 214.64
  4. Step 4: Simplify right side
    389.30x = 115,307.02
  5. Step 5: Solve for x
    x = 115,307.02/389.30
  6. Step 6: Final answer
    x = 296.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.