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Finding the Fourth Proportional to 597.08, 829.52 and 591.14

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Solution

The fourth proportional to 597.08, 829.52 and 591.14 is: 821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.08 : 829.52 = 591.14 : x
  2. Step 2: Convert to fraction form
    597.08/829.52 = 591.14/x
  3. Step 3: Cross multiply
    597.08x = 829.52 × 591.14
  4. Step 4: Simplify right side
    597.08x = 490,362.45
  5. Step 5: Solve for x
    x = 490,362.45/597.08
  6. Step 6: Final answer
    x = 821.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.