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Finding the Fourth Proportional to 574.34, 860.90 and 420.92

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Solution

The fourth proportional to 574.34, 860.90 and 420.92 is: 630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.34 : 860.90 = 420.92 : x
  2. Step 2: Convert to fraction form
    574.34/860.90 = 420.92/x
  3. Step 3: Cross multiply
    574.34x = 860.90 × 420.92
  4. Step 4: Simplify right side
    574.34x = 362,363.62
  5. Step 5: Solve for x
    x = 362,363.62/574.34
  6. Step 6: Final answer
    x = 630.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.