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Finding the Fourth Proportional to 297.68, 410.74 and 256.16

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Solution

The fourth proportional to 297.68, 410.74 and 256.16 is: 353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.68 : 410.74 = 256.16 : x
  2. Step 2: Convert to fraction form
    297.68/410.74 = 256.16/x
  3. Step 3: Cross multiply
    297.68x = 410.74 × 256.16
  4. Step 4: Simplify right side
    297.68x = 105,215.54
  5. Step 5: Solve for x
    x = 105,215.54/297.68
  6. Step 6: Final answer
    x = 353.46

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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.