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Finding the Fourth Proportional to 573.10, 789.47 and 415.26

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Solution

The fourth proportional to 573.10, 789.47 and 415.26 is: 572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.10 : 789.47 = 415.26 : x
  2. Step 2: Convert to fraction form
    573.10/789.47 = 415.26/x
  3. Step 3: Cross multiply
    573.10x = 789.47 × 415.26
  4. Step 4: Simplify right side
    573.10x = 327,834.79
  5. Step 5: Solve for x
    x = 327,834.79/573.10
  6. Step 6: Final answer
    x = 572.04

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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.