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Finding the Fourth Proportional to 941.43, 1,412.47 and 421.80

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Solution

The fourth proportional to 941.43, 1,412.47 and 421.80 is: 632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.43 : 1,412.47 = 421.80 : x
  2. Step 2: Convert to fraction form
    941.43/1,412.47 = 421.80/x
  3. Step 3: Cross multiply
    941.43x = 1,412.47 × 421.80
  4. Step 4: Simplify right side
    941.43x = 595,779.85
  5. Step 5: Solve for x
    x = 595,779.85/941.43
  6. Step 6: Final answer
    x = 632.85

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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.