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Finding the Fourth Proportional to 522.38, 782.69 and 384.68

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Solution

The fourth proportional to 522.38, 782.69 and 384.68 is: 576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.38 : 782.69 = 384.68 : x
  2. Step 2: Convert to fraction form
    522.38/782.69 = 384.68/x
  3. Step 3: Cross multiply
    522.38x = 782.69 × 384.68
  4. Step 4: Simplify right side
    522.38x = 301,079.35
  5. Step 5: Solve for x
    x = 301,079.35/522.38
  6. Step 6: Final answer
    x = 576.37

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