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Finding the Fourth Proportional to 504.05, 695.59 and 329.29

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Solution

The fourth proportional to 504.05, 695.59 and 329.29 is: 454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.05 : 695.59 = 329.29 : x
  2. Step 2: Convert to fraction form
    504.05/695.59 = 329.29/x
  3. Step 3: Cross multiply
    504.05x = 695.59 × 329.29
  4. Step 4: Simplify right side
    504.05x = 229,047.35
  5. Step 5: Solve for x
    x = 229,047.35/504.05
  6. Step 6: Final answer
    x = 454.42

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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.