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Finding the Fourth Proportional to 334, 461.04 and 256.24

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Solution

The fourth proportional to 334, 461.04 and 256.24 is: 353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334 : 461.04 = 256.24 : x
  2. Step 2: Convert to fraction form
    334/461.04 = 256.24/x
  3. Step 3: Cross multiply
    334x = 461.04 × 256.24
  4. Step 4: Simplify right side
    334x = 118,136.89
  5. Step 5: Solve for x
    x = 118,136.89/334
  6. Step 6: Final answer
    x = 353.70

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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.