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Finding the Fourth Proportional to 389.44, 537.64 and 258.64

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Solution

The fourth proportional to 389.44, 537.64 and 258.64 is: 357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.44 : 537.64 = 258.64 : x
  2. Step 2: Convert to fraction form
    389.44/537.64 = 258.64/x
  3. Step 3: Cross multiply
    389.44x = 537.64 × 258.64
  4. Step 4: Simplify right side
    389.44x = 139,055.21
  5. Step 5: Solve for x
    x = 139,055.21/389.44
  6. Step 6: Final answer
    x = 357.06

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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.