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Finding the Fourth Proportional to 429.90, 645.12 and 170.04

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Solution

The fourth proportional to 429.90, 645.12 and 170.04 is: 255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.90 : 645.12 = 170.04 : x
  2. Step 2: Convert to fraction form
    429.90/645.12 = 170.04/x
  3. Step 3: Cross multiply
    429.90x = 645.12 × 170.04
  4. Step 4: Simplify right side
    429.90x = 109,696.20
  5. Step 5: Solve for x
    x = 109,696.20/429.90
  6. Step 6: Final answer
    x = 255.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.