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Finding the Fourth Proportional to 461.89, 695.53 and 341

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Solution

The fourth proportional to 461.89, 695.53 and 341 is: 513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.89 : 695.53 = 341 : x
  2. Step 2: Convert to fraction form
    461.89/695.53 = 341/x
  3. Step 3: Cross multiply
    461.89x = 695.53 × 341
  4. Step 4: Simplify right side
    461.89x = 237,174.03
  5. Step 5: Solve for x
    x = 237,174.03/461.89
  6. Step 6: Final answer
    x = 513.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.