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Finding the Fourth Proportional to 260.52, 389 and 214.72

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Solution

The fourth proportional to 260.52, 389 and 214.72 is: 320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.52 : 389 = 214.72 : x
  2. Step 2: Convert to fraction form
    260.52/389 = 214.72/x
  3. Step 3: Cross multiply
    260.52x = 389 × 214.72
  4. Step 4: Simplify right side
    260.52x = 83,526.08
  5. Step 5: Solve for x
    x = 83,526.08/260.52
  6. Step 6: Final answer
    x = 320.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.