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Finding the Fourth Proportional to 285.60, 428.64 and 281.28

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Solution

The fourth proportional to 285.60, 428.64 and 281.28 is: 422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.60 : 428.64 = 281.28 : x
  2. Step 2: Convert to fraction form
    285.60/428.64 = 281.28/x
  3. Step 3: Cross multiply
    285.60x = 428.64 × 281.28
  4. Step 4: Simplify right side
    285.60x = 120,567.86
  5. Step 5: Solve for x
    x = 120,567.86/285.60
  6. Step 6: Final answer
    x = 422.16

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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.