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Finding the Fourth Proportional to 297.04, 410.10 and 214.09

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Solution

The fourth proportional to 297.04, 410.10 and 214.09 is: 295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.04 : 410.10 = 214.09 : x
  2. Step 2: Convert to fraction form
    297.04/410.10 = 214.09/x
  3. Step 3: Cross multiply
    297.04x = 410.10 × 214.09
  4. Step 4: Simplify right side
    297.04x = 87,798.31
  5. Step 5: Solve for x
    x = 87,798.31/297.04
  6. Step 6: Final answer
    x = 295.58

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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.