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Finding the Fourth Proportional to 538.84, 743.69 and 306.10

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Solution

The fourth proportional to 538.84, 743.69 and 306.10 is: 422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.84 : 743.69 = 306.10 : x
  2. Step 2: Convert to fraction form
    538.84/743.69 = 306.10/x
  3. Step 3: Cross multiply
    538.84x = 743.69 × 306.10
  4. Step 4: Simplify right side
    538.84x = 227,643.51
  5. Step 5: Solve for x
    x = 227,643.51/538.84
  6. Step 6: Final answer
    x = 422.47

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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.