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Finding the Fourth Proportional to 596.61, 823.05 and 386.86

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Solution

The fourth proportional to 596.61, 823.05 and 386.86 is: 533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.61 : 823.05 = 386.86 : x
  2. Step 2: Convert to fraction form
    596.61/823.05 = 386.86/x
  3. Step 3: Cross multiply
    596.61x = 823.05 × 386.86
  4. Step 4: Simplify right side
    596.61x = 318,405.12
  5. Step 5: Solve for x
    x = 318,405.12/596.61
  6. Step 6: Final answer
    x = 533.69

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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.