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Finding the Fourth Proportional to 503.82, 695.34 and 293.99

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Solution

The fourth proportional to 503.82, 695.34 and 293.99 is: 405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.82 : 695.34 = 293.99 : x
  2. Step 2: Convert to fraction form
    503.82/695.34 = 293.99/x
  3. Step 3: Cross multiply
    503.82x = 695.34 × 293.99
  4. Step 4: Simplify right side
    503.82x = 204,419.53
  5. Step 5: Solve for x
    x = 204,419.53/503.82
  6. Step 6: Final answer
    x = 405.74

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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.