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Finding the Fourth Proportional to 582.87, 803.84 and 414.49

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Solution

The fourth proportional to 582.87, 803.84 and 414.49 is: 571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.87 : 803.84 = 414.49 : x
  2. Step 2: Convert to fraction form
    582.87/803.84 = 414.49/x
  3. Step 3: Cross multiply
    582.87x = 803.84 × 414.49
  4. Step 4: Simplify right side
    582.87x = 333,183.64
  5. Step 5: Solve for x
    x = 333,183.64/582.87
  6. Step 6: Final answer
    x = 571.63

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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.