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Finding the Fourth Proportional to 591.46, 815.37 and 416.26

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Solution

The fourth proportional to 591.46, 815.37 and 416.26 is: 573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.46 : 815.37 = 416.26 : x
  2. Step 2: Convert to fraction form
    591.46/815.37 = 416.26/x
  3. Step 3: Cross multiply
    591.46x = 815.37 × 416.26
  4. Step 4: Simplify right side
    591.46x = 339,405.92
  5. Step 5: Solve for x
    x = 339,405.92/591.46
  6. Step 6: Final answer
    x = 573.84

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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.