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Finding the Fourth Proportional to 429.80, 645.52 and 410.55

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Solution

The fourth proportional to 429.80, 645.52 and 410.55 is: 616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.80 : 645.52 = 410.55 : x
  2. Step 2: Convert to fraction form
    429.80/645.52 = 410.55/x
  3. Step 3: Cross multiply
    429.80x = 645.52 × 410.55
  4. Step 4: Simplify right side
    429.80x = 265,019.19
  5. Step 5: Solve for x
    x = 265,019.19/429.80
  6. Step 6: Final answer
    x = 616.62

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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.