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Finding the Fourth Proportional to 520.91, 718.82 and 311.08

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Solution

The fourth proportional to 520.91, 718.82 and 311.08 is: 429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.91 : 718.82 = 311.08 : x
  2. Step 2: Convert to fraction form
    520.91/718.82 = 311.08/x
  3. Step 3: Cross multiply
    520.91x = 718.82 × 311.08
  4. Step 4: Simplify right side
    520.91x = 223,610.53
  5. Step 5: Solve for x
    x = 223,610.53/520.91
  6. Step 6: Final answer
    x = 429.27

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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.