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Finding the Fourth Proportional to 421.96, 582.17 and 264.75

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Solution

The fourth proportional to 421.96, 582.17 and 264.75 is: 365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.96 : 582.17 = 264.75 : x
  2. Step 2: Convert to fraction form
    421.96/582.17 = 264.75/x
  3. Step 3: Cross multiply
    421.96x = 582.17 × 264.75
  4. Step 4: Simplify right side
    421.96x = 154,130.76
  5. Step 5: Solve for x
    x = 154,130.76/421.96
  6. Step 6: Final answer
    x = 365.27

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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.