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Finding the Fourth Proportional to 421.80, 629.10 and 410.25

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Solution

The fourth proportional to 421.80, 629.10 and 410.25 is: 611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.80 : 629.10 = 410.25 : x
  2. Step 2: Convert to fraction form
    421.80/629.10 = 410.25/x
  3. Step 3: Cross multiply
    421.80x = 629.10 × 410.25
  4. Step 4: Simplify right side
    421.80x = 258,088.28
  5. Step 5: Solve for x
    x = 258,088.28/421.80
  6. Step 6: Final answer
    x = 611.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.