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Finding the Fourth Proportional to 461.79, 637.38 and 415.08

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Solution

The fourth proportional to 461.79, 637.38 and 415.08 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.79 : 637.38 = 415.08 : x
  2. Step 2: Convert to fraction form
    461.79/637.38 = 415.08/x
  3. Step 3: Cross multiply
    461.79x = 637.38 × 415.08
  4. Step 4: Simplify right side
    461.79x = 264,563.69
  5. Step 5: Solve for x
    x = 264,563.69/461.79
  6. Step 6: Final answer
    x = 572.91

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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.