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Finding the Fourth Proportional to 596.26, 822.77 and 360.35

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Solution

The fourth proportional to 596.26, 822.77 and 360.35 is: 497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.26 : 822.77 = 360.35 : x
  2. Step 2: Convert to fraction form
    596.26/822.77 = 360.35/x
  3. Step 3: Cross multiply
    596.26x = 822.77 × 360.35
  4. Step 4: Simplify right side
    596.26x = 296,485.17
  5. Step 5: Solve for x
    x = 296,485.17/596.26
  6. Step 6: Final answer
    x = 497.24

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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.