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Finding the Fourth Proportional to 299.04, 410 and 295.84

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Solution

The fourth proportional to 299.04, 410 and 295.84 is: 405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.04 : 410 = 295.84 : x
  2. Step 2: Convert to fraction form
    299.04/410 = 295.84/x
  3. Step 3: Cross multiply
    299.04x = 410 × 295.84
  4. Step 4: Simplify right side
    299.04x = 121,294.40
  5. Step 5: Solve for x
    x = 121,294.40/299.04
  6. Step 6: Final answer
    x = 405.61

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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.