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Finding the Fourth Proportional to 597.46, 829.45 and 579.64

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Solution

The fourth proportional to 597.46, 829.45 and 579.64 is: 804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.46 : 829.45 = 579.64 : x
  2. Step 2: Convert to fraction form
    597.46/829.45 = 579.64/x
  3. Step 3: Cross multiply
    597.46x = 829.45 × 579.64
  4. Step 4: Simplify right side
    597.46x = 480,782.40
  5. Step 5: Solve for x
    x = 480,782.40/597.46
  6. Step 6: Final answer
    x = 804.71

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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.