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Finding the Fourth Proportional to 523.25, 722.12 and 302.28

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Solution

The fourth proportional to 523.25, 722.12 and 302.28 is: 417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.25 : 722.12 = 302.28 : x
  2. Step 2: Convert to fraction form
    523.25/722.12 = 302.28/x
  3. Step 3: Cross multiply
    523.25x = 722.12 × 302.28
  4. Step 4: Simplify right side
    523.25x = 218,282.43
  5. Step 5: Solve for x
    x = 218,282.43/523.25
  6. Step 6: Final answer
    x = 417.17

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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.