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Finding the Fourth Proportional to 395.67, 595.83 and 293.68

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Solution

The fourth proportional to 395.67, 595.83 and 293.68 is: 442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.67 : 595.83 = 293.68 : x
  2. Step 2: Convert to fraction form
    395.67/595.83 = 293.68/x
  3. Step 3: Cross multiply
    395.67x = 595.83 × 293.68
  4. Step 4: Simplify right side
    395.67x = 174,983.35
  5. Step 5: Solve for x
    x = 174,983.35/395.67
  6. Step 6: Final answer
    x = 442.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.