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Finding the Fourth Proportional to 596.94, 823.74 and 420.15

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Solution

The fourth proportional to 596.94, 823.74 and 420.15 is: 579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.94 : 823.74 = 420.15 : x
  2. Step 2: Convert to fraction form
    596.94/823.74 = 420.15/x
  3. Step 3: Cross multiply
    596.94x = 823.74 × 420.15
  4. Step 4: Simplify right side
    596.94x = 346,094.36
  5. Step 5: Solve for x
    x = 346,094.36/596.94
  6. Step 6: Final answer
    x = 579.78

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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.