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Finding the Fourth Proportional to 854, 1,281.30 and 421.46

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Solution

The fourth proportional to 854, 1,281.30 and 421.46 is: 632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    854 : 1,281.30 = 421.46 : x
  2. Step 2: Convert to fraction form
    854/1,281.30 = 421.46/x
  3. Step 3: Cross multiply
    854x = 1,281.30 × 421.46
  4. Step 4: Simplify right side
    854x = 540,016.70
  5. Step 5: Solve for x
    x = 540,016.70/854
  6. Step 6: Final answer
    x = 632.34

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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.