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Finding the Fourth Proportional to 574.68, 862.44 and 421.00

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Solution

The fourth proportional to 574.68, 862.44 and 421.00 is: 631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.68 : 862.44 = 421.00 : x
  2. Step 2: Convert to fraction form
    574.68/862.44 = 421.00/x
  3. Step 3: Cross multiply
    574.68x = 862.44 × 421.00
  4. Step 4: Simplify right side
    574.68x = 363,085.87
  5. Step 5: Solve for x
    x = 363,085.87/574.68
  6. Step 6: Final answer
    x = 631.81

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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.