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Finding the Fourth Proportional to 503.92, 695.33 and 282.84

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Solution

The fourth proportional to 503.92, 695.33 and 282.84 is: 390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.92 : 695.33 = 282.84 : x
  2. Step 2: Convert to fraction form
    503.92/695.33 = 282.84/x
  3. Step 3: Cross multiply
    503.92x = 695.33 × 282.84
  4. Step 4: Simplify right side
    503.92x = 196,669.68
  5. Step 5: Solve for x
    x = 196,669.68/503.92
  6. Step 6: Final answer
    x = 390.28

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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.