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Finding the Fourth Proportional to 295.80, 406.37 and 265.13

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Solution

The fourth proportional to 295.80, 406.37 and 265.13 is: 364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.80 : 406.37 = 265.13 : x
  2. Step 2: Convert to fraction form
    295.80/406.37 = 265.13/x
  3. Step 3: Cross multiply
    295.80x = 406.37 × 265.13
  4. Step 4: Simplify right side
    295.80x = 107,737.52
  5. Step 5: Solve for x
    x = 107,737.52/295.80
  6. Step 6: Final answer
    x = 364.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.