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Finding the Fourth Proportional to 695.04, 959.04 and 419.04

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Solution

The fourth proportional to 695.04, 959.04 and 419.04 is: 578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.04 : 959.04 = 419.04 : x
  2. Step 2: Convert to fraction form
    695.04/959.04 = 419.04/x
  3. Step 3: Cross multiply
    695.04x = 959.04 × 419.04
  4. Step 4: Simplify right side
    695.04x = 401,876.12
  5. Step 5: Solve for x
    x = 401,876.12/695.04
  6. Step 6: Final answer
    x = 578.21

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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.