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Finding the Fourth Proportional to 523.82, 722.96 and 302.90

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Solution

The fourth proportional to 523.82, 722.96 and 302.90 is: 418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.82 : 722.96 = 302.90 : x
  2. Step 2: Convert to fraction form
    523.82/722.96 = 302.90/x
  3. Step 3: Cross multiply
    523.82x = 722.96 × 302.90
  4. Step 4: Simplify right side
    523.82x = 218,979.45
  5. Step 5: Solve for x
    x = 218,979.45/523.82
  6. Step 6: Final answer
    x = 418.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.