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Finding the Fourth Proportional to 572.79, 789.93 and 416.46

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Solution

The fourth proportional to 572.79, 789.93 and 416.46 is: 574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.79 : 789.93 = 416.46 : x
  2. Step 2: Convert to fraction form
    572.79/789.93 = 416.46/x
  3. Step 3: Cross multiply
    572.79x = 789.93 × 416.46
  4. Step 4: Simplify right side
    572.79x = 328,974.25
  5. Step 5: Solve for x
    x = 328,974.25/572.79
  6. Step 6: Final answer
    x = 574.34

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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.