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Finding the Fourth Proportional to 596.37, 822.85 and 456.65

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Solution

The fourth proportional to 596.37, 822.85 and 456.65 is: 630.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.37 : 822.85 = 456.65 : x
  2. Step 2: Convert to fraction form
    596.37/822.85 = 456.65/x
  3. Step 3: Cross multiply
    596.37x = 822.85 × 456.65
  4. Step 4: Simplify right side
    596.37x = 375,748.06
  5. Step 5: Solve for x
    x = 375,748.06/596.37
  6. Step 6: Final answer
    x = 630.06

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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.