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Finding the Fourth Proportional to 596.51, 823.17 and 330.95

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Solution

The fourth proportional to 596.51, 823.17 and 330.95 is: 456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.51 : 823.17 = 330.95 : x
  2. Step 2: Convert to fraction form
    596.51/823.17 = 330.95/x
  3. Step 3: Cross multiply
    596.51x = 823.17 × 330.95
  4. Step 4: Simplify right side
    596.51x = 272,428.11
  5. Step 5: Solve for x
    x = 272,428.11/596.51
  6. Step 6: Final answer
    x = 456.70

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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.