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Finding the Fourth Proportional to 598.14, 822.96 and 466.92

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Solution

The fourth proportional to 598.14, 822.96 and 466.92 is: 642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.14 : 822.96 = 466.92 : x
  2. Step 2: Convert to fraction form
    598.14/822.96 = 466.92/x
  3. Step 3: Cross multiply
    598.14x = 822.96 × 466.92
  4. Step 4: Simplify right side
    598.14x = 384,256.48
  5. Step 5: Solve for x
    x = 384,256.48/598.14
  6. Step 6: Final answer
    x = 642.42

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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.