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Finding the Fourth Proportional to 504.29, 695.86 and 294.43

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Solution

The fourth proportional to 504.29, 695.86 and 294.43 is: 406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.29 : 695.86 = 294.43 : x
  2. Step 2: Convert to fraction form
    504.29/695.86 = 294.43/x
  3. Step 3: Cross multiply
    504.29x = 695.86 × 294.43
  4. Step 4: Simplify right side
    504.29x = 204,880.59
  5. Step 5: Solve for x
    x = 204,880.59/504.29
  6. Step 6: Final answer
    x = 406.28

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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.