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Finding the Fourth Proportional to 429.46, 590.98 and 416.80

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Solution

The fourth proportional to 429.46, 590.98 and 416.80 is: 573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.46 : 590.98 = 416.80 : x
  2. Step 2: Convert to fraction form
    429.46/590.98 = 416.80/x
  3. Step 3: Cross multiply
    429.46x = 590.98 × 416.80
  4. Step 4: Simplify right side
    429.46x = 246,320.46
  5. Step 5: Solve for x
    x = 246,320.46/429.46
  6. Step 6: Final answer
    x = 573.56

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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.