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Finding the Fourth Proportional to 395.78, 592.44 and 258.53

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Solution

The fourth proportional to 395.78, 592.44 and 258.53 is: 386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.78 : 592.44 = 258.53 : x
  2. Step 2: Convert to fraction form
    395.78/592.44 = 258.53/x
  3. Step 3: Cross multiply
    395.78x = 592.44 × 258.53
  4. Step 4: Simplify right side
    395.78x = 153,163.51
  5. Step 5: Solve for x
    x = 153,163.51/395.78
  6. Step 6: Final answer
    x = 386.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.