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Finding the Fourth Proportional to 596.45, 822.53 and 456.57

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Solution

The fourth proportional to 596.45, 822.53 and 456.57 is: 629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.45 : 822.53 = 456.57 : x
  2. Step 2: Convert to fraction form
    596.45/822.53 = 456.57/x
  3. Step 3: Cross multiply
    596.45x = 822.53 × 456.57
  4. Step 4: Simplify right side
    596.45x = 375,544.58
  5. Step 5: Solve for x
    x = 375,544.58/596.45
  6. Step 6: Final answer
    x = 629.64

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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.