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Finding the Fourth Proportional to 582.80, 803.89 and 416.73

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Solution

The fourth proportional to 582.80, 803.89 and 416.73 is: 574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.80 : 803.89 = 416.73 : x
  2. Step 2: Convert to fraction form
    582.80/803.89 = 416.73/x
  3. Step 3: Cross multiply
    582.80x = 803.89 × 416.73
  4. Step 4: Simplify right side
    582.80x = 335,004.09
  5. Step 5: Solve for x
    x = 335,004.09/582.80
  6. Step 6: Final answer
    x = 574.82

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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.