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Finding the Fourth Proportional to 302.83, 417.46 and 214.04

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Solution

The fourth proportional to 302.83, 417.46 and 214.04 is: 295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.83 : 417.46 = 214.04 : x
  2. Step 2: Convert to fraction form
    302.83/417.46 = 214.04/x
  3. Step 3: Cross multiply
    302.83x = 417.46 × 214.04
  4. Step 4: Simplify right side
    302.83x = 89,351.32
  5. Step 5: Solve for x
    x = 89,351.32/302.83
  6. Step 6: Final answer
    x = 295.05

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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.