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Finding the Fourth Proportional to 503.82, 695.33 and 294.08

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Solution

The fourth proportional to 503.82, 695.33 and 294.08 is: 405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.82 : 695.33 = 294.08 : x
  2. Step 2: Convert to fraction form
    503.82/695.33 = 294.08/x
  3. Step 3: Cross multiply
    503.82x = 695.33 × 294.08
  4. Step 4: Simplify right side
    503.82x = 204,477.70
  5. Step 5: Solve for x
    x = 204,477.70/503.82
  6. Step 6: Final answer
    x = 405.85

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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.