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Finding the Fourth Proportional to 285.10, 425 and 281.86

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Solution

The fourth proportional to 285.10, 425 and 281.86 is: 420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.10 : 425 = 281.86 : x
  2. Step 2: Convert to fraction form
    285.10/425 = 281.86/x
  3. Step 3: Cross multiply
    285.10x = 425 × 281.86
  4. Step 4: Simplify right side
    285.10x = 119,790.50
  5. Step 5: Solve for x
    x = 119,790.50/285.10
  6. Step 6: Final answer
    x = 420.17

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