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Finding the Fourth Proportional to 522.86, 721.64 and 301.79

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Solution

The fourth proportional to 522.86, 721.64 and 301.79 is: 416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.86 : 721.64 = 301.79 : x
  2. Step 2: Convert to fraction form
    522.86/721.64 = 301.79/x
  3. Step 3: Cross multiply
    522.86x = 721.64 × 301.79
  4. Step 4: Simplify right side
    522.86x = 217,786.29
  5. Step 5: Solve for x
    x = 217,786.29/522.86
  6. Step 6: Final answer
    x = 416.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.