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Finding the Fourth Proportional to 297.61, 410.29 and 256.60

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Solution

The fourth proportional to 297.61, 410.29 and 256.60 is: 353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.61 : 410.29 = 256.60 : x
  2. Step 2: Convert to fraction form
    297.61/410.29 = 256.60/x
  3. Step 3: Cross multiply
    297.61x = 410.29 × 256.60
  4. Step 4: Simplify right side
    297.61x = 105,280.41
  5. Step 5: Solve for x
    x = 105,280.41/297.61
  6. Step 6: Final answer
    x = 353.75

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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.