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Finding the Fourth Proportional to 596.68, 823.29 and 456.95

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Solution

The fourth proportional to 596.68, 823.29 and 456.95 is: 630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.68 : 823.29 = 456.95 : x
  2. Step 2: Convert to fraction form
    596.68/823.29 = 456.95/x
  3. Step 3: Cross multiply
    596.68x = 823.29 × 456.95
  4. Step 4: Simplify right side
    596.68x = 376,202.37
  5. Step 5: Solve for x
    x = 376,202.37/596.68
  6. Step 6: Final answer
    x = 630.49

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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.