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Finding the Fourth Proportional to 596.93, 823.46 and 386.84

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Solution

The fourth proportional to 596.93, 823.46 and 386.84 is: 533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.93 : 823.46 = 386.84 : x
  2. Step 2: Convert to fraction form
    596.93/823.46 = 386.84/x
  3. Step 3: Cross multiply
    596.93x = 823.46 × 386.84
  4. Step 4: Simplify right side
    596.93x = 318,547.39
  5. Step 5: Solve for x
    x = 318,547.39/596.93
  6. Step 6: Final answer
    x = 533.65

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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.