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Finding the Fourth Proportional to 400.96, 598.73 and 346.24

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Solution

The fourth proportional to 400.96, 598.73 and 346.24 is: 517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.96 : 598.73 = 346.24 : x
  2. Step 2: Convert to fraction form
    400.96/598.73 = 346.24/x
  3. Step 3: Cross multiply
    400.96x = 598.73 × 346.24
  4. Step 4: Simplify right side
    400.96x = 207,304.28
  5. Step 5: Solve for x
    x = 207,304.28/400.96
  6. Step 6: Final answer
    x = 517.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.