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Finding the Fourth Proportional to 418.04, 574.98 and 342.80

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Solution

The fourth proportional to 418.04, 574.98 and 342.80 is: 471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.04 : 574.98 = 342.80 : x
  2. Step 2: Convert to fraction form
    418.04/574.98 = 342.80/x
  3. Step 3: Cross multiply
    418.04x = 574.98 × 342.80
  4. Step 4: Simplify right side
    418.04x = 197,101.43
  5. Step 5: Solve for x
    x = 197,101.43/418.04
  6. Step 6: Final answer
    x = 471.50

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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.