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Finding the Fourth Proportional to 505.21, 697.02 and 411.79

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Solution

The fourth proportional to 505.21, 697.02 and 411.79 is: 568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.21 : 697.02 = 411.79 : x
  2. Step 2: Convert to fraction form
    505.21/697.02 = 411.79/x
  3. Step 3: Cross multiply
    505.21x = 697.02 × 411.79
  4. Step 4: Simplify right side
    505.21x = 287,023.89
  5. Step 5: Solve for x
    x = 287,023.89/505.21
  6. Step 6: Final answer
    x = 568.13

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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.