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Finding the Fourth Proportional to 597.03, 823.80 and 360.82

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Solution

The fourth proportional to 597.03, 823.80 and 360.82 is: 497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.03 : 823.80 = 360.82 : x
  2. Step 2: Convert to fraction form
    597.03/823.80 = 360.82/x
  3. Step 3: Cross multiply
    597.03x = 823.80 × 360.82
  4. Step 4: Simplify right side
    597.03x = 297,243.52
  5. Step 5: Solve for x
    x = 297,243.52/597.03
  6. Step 6: Final answer
    x = 497.87

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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.