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Finding the Fourth Proportional to 295.53, 405.84 and 262.77

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Solution

The fourth proportional to 295.53, 405.84 and 262.77 is: 360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.53 : 405.84 = 262.77 : x
  2. Step 2: Convert to fraction form
    295.53/405.84 = 262.77/x
  3. Step 3: Cross multiply
    295.53x = 405.84 × 262.77
  4. Step 4: Simplify right side
    295.53x = 106,642.58
  5. Step 5: Solve for x
    x = 106,642.58/295.53
  6. Step 6: Final answer
    x = 360.85

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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.