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Finding the Fourth Proportional to 596.18, 822.60 and 456.45

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Solution

The fourth proportional to 596.18, 822.60 and 456.45 is: 629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.18 : 822.60 = 456.45 : x
  2. Step 2: Convert to fraction form
    596.18/822.60 = 456.45/x
  3. Step 3: Cross multiply
    596.18x = 822.60 × 456.45
  4. Step 4: Simplify right side
    596.18x = 375,475.77
  5. Step 5: Solve for x
    x = 375,475.77/596.18
  6. Step 6: Final answer
    x = 629.81

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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.