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Finding the Fourth Proportional to 504.19, 695.92 and 329.50

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Solution

The fourth proportional to 504.19, 695.92 and 329.50 is: 454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.19 : 695.92 = 329.50 : x
  2. Step 2: Convert to fraction form
    504.19/695.92 = 329.50/x
  3. Step 3: Cross multiply
    504.19x = 695.92 × 329.50
  4. Step 4: Simplify right side
    504.19x = 229,305.64
  5. Step 5: Solve for x
    x = 229,305.64/504.19
  6. Step 6: Final answer
    x = 454.80

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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.