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Finding the Fourth Proportional to 505.05, 696.63 and 411.80

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Solution

The fourth proportional to 505.05, 696.63 and 411.80 is: 568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.05 : 696.63 = 411.80 : x
  2. Step 2: Convert to fraction form
    505.05/696.63 = 411.80/x
  3. Step 3: Cross multiply
    505.05x = 696.63 × 411.80
  4. Step 4: Simplify right side
    505.05x = 286,872.23
  5. Step 5: Solve for x
    x = 286,872.23/505.05
  6. Step 6: Final answer
    x = 568.01

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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.