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Finding the Fourth Proportional to 522.68, 784.04 and 265.88

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Solution

The fourth proportional to 522.68, 784.04 and 265.88 is: 398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.68 : 784.04 = 265.88 : x
  2. Step 2: Convert to fraction form
    522.68/784.04 = 265.88/x
  3. Step 3: Cross multiply
    522.68x = 784.04 × 265.88
  4. Step 4: Simplify right side
    522.68x = 208,460.56
  5. Step 5: Solve for x
    x = 208,460.56/522.68
  6. Step 6: Final answer
    x = 398.83

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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.