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Finding the Fourth Proportional to 504.10, 695.66 and 329.44

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Solution

The fourth proportional to 504.10, 695.66 and 329.44 is: 454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.10 : 695.66 = 329.44 : x
  2. Step 2: Convert to fraction form
    504.10/695.66 = 329.44/x
  3. Step 3: Cross multiply
    504.10x = 695.66 × 329.44
  4. Step 4: Simplify right side
    504.10x = 229,174.84
  5. Step 5: Solve for x
    x = 229,174.84/504.10
  6. Step 6: Final answer
    x = 454.62

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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.