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Finding the Fourth Proportional to 596.58, 823.14 and 375.45

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Solution

The fourth proportional to 596.58, 823.14 and 375.45 is: 518.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.58 : 823.14 = 375.45 : x
  2. Step 2: Convert to fraction form
    596.58/823.14 = 375.45/x
  3. Step 3: Cross multiply
    596.58x = 823.14 × 375.45
  4. Step 4: Simplify right side
    596.58x = 309,047.91
  5. Step 5: Solve for x
    x = 309,047.91/596.58
  6. Step 6: Final answer
    x = 518.03

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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.