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Finding the Fourth Proportional to 504.19, 695.73 and 294.31

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Solution

The fourth proportional to 504.19, 695.73 and 294.31 is: 406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.19 : 695.73 = 294.31 : x
  2. Step 2: Convert to fraction form
    504.19/695.73 = 294.31/x
  3. Step 3: Cross multiply
    504.19x = 695.73 × 294.31
  4. Step 4: Simplify right side
    504.19x = 204,760.30
  5. Step 5: Solve for x
    x = 204,760.30/504.19
  6. Step 6: Final answer
    x = 406.12

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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.