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Finding the Fourth Proportional to 591.16, 815.58 and 416.44

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Solution

The fourth proportional to 591.16, 815.58 and 416.44 is: 574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.16 : 815.58 = 416.44 : x
  2. Step 2: Convert to fraction form
    591.16/815.58 = 416.44/x
  3. Step 3: Cross multiply
    591.16x = 815.58 × 416.44
  4. Step 4: Simplify right side
    591.16x = 339,640.14
  5. Step 5: Solve for x
    x = 339,640.14/591.16
  6. Step 6: Final answer
    x = 574.53

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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.