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Finding the Fourth Proportional to 521.06, 718.94 and 311.27

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Solution

The fourth proportional to 521.06, 718.94 and 311.27 is: 429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.06 : 718.94 = 311.27 : x
  2. Step 2: Convert to fraction form
    521.06/718.94 = 311.27/x
  3. Step 3: Cross multiply
    521.06x = 718.94 × 311.27
  4. Step 4: Simplify right side
    521.06x = 223,779.30
  5. Step 5: Solve for x
    x = 223,779.30/521.06
  6. Step 6: Final answer
    x = 429.47

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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.