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Finding the Fourth Proportional to 295.83, 441.84 and 214.43

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Solution

The fourth proportional to 295.83, 441.84 and 214.43 is: 320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.83 : 441.84 = 214.43 : x
  2. Step 2: Convert to fraction form
    295.83/441.84 = 214.43/x
  3. Step 3: Cross multiply
    295.83x = 441.84 × 214.43
  4. Step 4: Simplify right side
    295.83x = 94,742.35
  5. Step 5: Solve for x
    x = 94,742.35/295.83
  6. Step 6: Final answer
    x = 320.26

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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.