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Finding the Fourth Proportional to 596.17, 823.14 and 386.47

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Solution

The fourth proportional to 596.17, 823.14 and 386.47 is: 533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.17 : 823.14 = 386.47 : x
  2. Step 2: Convert to fraction form
    596.17/823.14 = 386.47/x
  3. Step 3: Cross multiply
    596.17x = 823.14 × 386.47
  4. Step 4: Simplify right side
    596.17x = 318,118.92
  5. Step 5: Solve for x
    x = 318,118.92/596.17
  6. Step 6: Final answer
    x = 533.60

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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.