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Finding the Fourth Proportional to 503.96, 695.55 and 282.99

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Solution

The fourth proportional to 503.96, 695.55 and 282.99 is: 390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.96 : 695.55 = 282.99 : x
  2. Step 2: Convert to fraction form
    503.96/695.55 = 282.99/x
  3. Step 3: Cross multiply
    503.96x = 695.55 × 282.99
  4. Step 4: Simplify right side
    503.96x = 196,837.36
  5. Step 5: Solve for x
    x = 196,837.36/503.96
  6. Step 6: Final answer
    x = 390.59

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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.