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Finding the Fourth Proportional to 522.86, 784.65 and 386.27

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Solution

The fourth proportional to 522.86, 784.65 and 386.27 is: 579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.86 : 784.65 = 386.27 : x
  2. Step 2: Convert to fraction form
    522.86/784.65 = 386.27/x
  3. Step 3: Cross multiply
    522.86x = 784.65 × 386.27
  4. Step 4: Simplify right side
    522.86x = 303,087.22
  5. Step 5: Solve for x
    x = 303,087.22/522.86
  6. Step 6: Final answer
    x = 579.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.