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Finding the Fourth Proportional to 523.24, 783.64 and 279.18

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Solution

The fourth proportional to 523.24, 783.64 and 279.18 is: 418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.24 : 783.64 = 279.18 : x
  2. Step 2: Convert to fraction form
    523.24/783.64 = 279.18/x
  3. Step 3: Cross multiply
    523.24x = 783.64 × 279.18
  4. Step 4: Simplify right side
    523.24x = 218,776.62
  5. Step 5: Solve for x
    x = 218,776.62/523.24
  6. Step 6: Final answer
    x = 418.12

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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.