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Finding the Fourth Proportional to 591.55, 816.27 and 352.25

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Solution

The fourth proportional to 591.55, 816.27 and 352.25 is: 486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.55 : 816.27 = 352.25 : x
  2. Step 2: Convert to fraction form
    591.55/816.27 = 352.25/x
  3. Step 3: Cross multiply
    591.55x = 816.27 × 352.25
  4. Step 4: Simplify right side
    591.55x = 287,525.26
  5. Step 5: Solve for x
    x = 287,525.26/591.55
  6. Step 6: Final answer
    x = 486.05

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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.