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Finding the Fourth Proportional to 596.73, 821.64 and 508.05

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Solution

The fourth proportional to 596.73, 821.64 and 508.05 is: 699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.73 : 821.64 = 508.05 : x
  2. Step 2: Convert to fraction form
    596.73/821.64 = 508.05/x
  3. Step 3: Cross multiply
    596.73x = 821.64 × 508.05
  4. Step 4: Simplify right side
    596.73x = 417,434.20
  5. Step 5: Solve for x
    x = 417,434.20/596.73
  6. Step 6: Final answer
    x = 699.54

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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.