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Finding the Fourth Proportional to 503.86, 695.29 and 282.85

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Solution

The fourth proportional to 503.86, 695.29 and 282.85 is: 390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.86 : 695.29 = 282.85 : x
  2. Step 2: Convert to fraction form
    503.86/695.29 = 282.85/x
  3. Step 3: Cross multiply
    503.86x = 695.29 × 282.85
  4. Step 4: Simplify right side
    503.86x = 196,660.09
  5. Step 5: Solve for x
    x = 196,660.09/503.86
  6. Step 6: Final answer
    x = 390.31

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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.