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Finding the Fourth Proportional to 295.13, 440.40 and 256.25

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Solution

The fourth proportional to 295.13, 440.40 and 256.25 is: 382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.13 : 440.40 = 256.25 : x
  2. Step 2: Convert to fraction form
    295.13/440.40 = 256.25/x
  3. Step 3: Cross multiply
    295.13x = 440.40 × 256.25
  4. Step 4: Simplify right side
    295.13x = 112,850.30
  5. Step 5: Solve for x
    x = 112,850.30/295.13
  6. Step 6: Final answer
    x = 382.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.