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Finding the Fourth Proportional to 503.98, 695.39 and 282.92

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Solution

The fourth proportional to 503.98, 695.39 and 282.92 is: 390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.98 : 695.39 = 282.92 : x
  2. Step 2: Convert to fraction form
    503.98/695.39 = 282.92/x
  3. Step 3: Cross multiply
    503.98x = 695.39 × 282.92
  4. Step 4: Simplify right side
    503.98x = 196,736.26
  5. Step 5: Solve for x
    x = 196,736.26/503.98
  6. Step 6: Final answer
    x = 390.37

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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.