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Finding the Fourth Proportional to 597.56, 823.80 and 480.92

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Solution

The fourth proportional to 597.56, 823.80 and 480.92 is: 663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.56 : 823.80 = 480.92 : x
  2. Step 2: Convert to fraction form
    597.56/823.80 = 480.92/x
  3. Step 3: Cross multiply
    597.56x = 823.80 × 480.92
  4. Step 4: Simplify right side
    597.56x = 396,181.90
  5. Step 5: Solve for x
    x = 396,181.90/597.56
  6. Step 6: Final answer
    x = 663.00

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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.