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Finding the Fourth Proportional to 538.80, 744.40 and 512.16

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Solution

The fourth proportional to 538.80, 744.40 and 512.16 is: 707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.80 : 744.40 = 512.16 : x
  2. Step 2: Convert to fraction form
    538.80/744.40 = 512.16/x
  3. Step 3: Cross multiply
    538.80x = 744.40 × 512.16
  4. Step 4: Simplify right side
    538.80x = 381,251.90
  5. Step 5: Solve for x
    x = 381,251.90/538.80
  6. Step 6: Final answer
    x = 707.59

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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.