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Finding the Fourth Proportional to 297.51, 410.00 and 214.46

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Solution

The fourth proportional to 297.51, 410.00 and 214.46 is: 295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.51 : 410.00 = 214.46 : x
  2. Step 2: Convert to fraction form
    297.51/410.00 = 214.46/x
  3. Step 3: Cross multiply
    297.51x = 410.00 × 214.46
  4. Step 4: Simplify right side
    297.51x = 87,929.32
  5. Step 5: Solve for x
    x = 87,929.32/297.51
  6. Step 6: Final answer
    x = 295.55

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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.