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Finding the Fourth Proportional to 302.75, 417.80 and 214.39

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Solution

The fourth proportional to 302.75, 417.80 and 214.39 is: 295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.75 : 417.80 = 214.39 : x
  2. Step 2: Convert to fraction form
    302.75/417.80 = 214.39/x
  3. Step 3: Cross multiply
    302.75x = 417.80 × 214.39
  4. Step 4: Simplify right side
    302.75x = 89,570.05
  5. Step 5: Solve for x
    x = 89,570.05/302.75
  6. Step 6: Final answer
    x = 295.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.