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Finding the Fourth Proportional to 597.01, 828.37 and 580

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Solution

The fourth proportional to 597.01, 828.37 and 580 is: 804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.01 : 828.37 = 580 : x
  2. Step 2: Convert to fraction form
    597.01/828.37 = 580/x
  3. Step 3: Cross multiply
    597.01x = 828.37 × 580
  4. Step 4: Simplify right side
    597.01x = 480,454.60
  5. Step 5: Solve for x
    x = 480,454.60/597.01
  6. Step 6: Final answer
    x = 804.77

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