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Finding the Fourth Proportional to 389.40, 537.82 and 259

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Solution

The fourth proportional to 389.40, 537.82 and 259 is: 357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.40 : 537.82 = 259 : x
  2. Step 2: Convert to fraction form
    389.40/537.82 = 259/x
  3. Step 3: Cross multiply
    389.40x = 537.82 × 259
  4. Step 4: Simplify right side
    389.40x = 139,295.38
  5. Step 5: Solve for x
    x = 139,295.38/389.40
  6. Step 6: Final answer
    x = 357.72

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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.