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Finding the Fourth Proportional to 461.31, 637.50 and 412.71

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Solution

The fourth proportional to 461.31, 637.50 and 412.71 is: 570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.31 : 637.50 = 412.71 : x
  2. Step 2: Convert to fraction form
    461.31/637.50 = 412.71/x
  3. Step 3: Cross multiply
    461.31x = 637.50 × 412.71
  4. Step 4: Simplify right side
    461.31x = 263,102.63
  5. Step 5: Solve for x
    x = 263,102.63/461.31
  6. Step 6: Final answer
    x = 570.34

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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.