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Finding the Fourth Proportional to 522.32, 784.89 and 279.02

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Solution

The fourth proportional to 522.32, 784.89 and 279.02 is: 419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.32 : 784.89 = 279.02 : x
  2. Step 2: Convert to fraction form
    522.32/784.89 = 279.02/x
  3. Step 3: Cross multiply
    522.32x = 784.89 × 279.02
  4. Step 4: Simplify right side
    522.32x = 218,996.08
  5. Step 5: Solve for x
    x = 218,996.08/522.32
  6. Step 6: Final answer
    x = 419.28

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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.