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Finding the Fourth Proportional to 410.38, 615.74 and 256.43

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Solution

The fourth proportional to 410.38, 615.74 and 256.43 is: 384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.38 : 615.74 = 256.43 : x
  2. Step 2: Convert to fraction form
    410.38/615.74 = 256.43/x
  3. Step 3: Cross multiply
    410.38x = 615.74 × 256.43
  4. Step 4: Simplify right side
    410.38x = 157,894.21
  5. Step 5: Solve for x
    x = 157,894.21/410.38
  6. Step 6: Final answer
    x = 384.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.