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Finding the Fourth Proportional to 505.11, 696.33 and 416.28

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Solution

The fourth proportional to 505.11, 696.33 and 416.28 is: 573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.11 : 696.33 = 416.28 : x
  2. Step 2: Convert to fraction form
    505.11/696.33 = 416.28/x
  3. Step 3: Cross multiply
    505.11x = 696.33 × 416.28
  4. Step 4: Simplify right side
    505.11x = 289,868.25
  5. Step 5: Solve for x
    x = 289,868.25/505.11
  6. Step 6: Final answer
    x = 573.87

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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.