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Finding the Fourth Proportional to 285.61, 391.58 and 280.42

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Solution

The fourth proportional to 285.61, 391.58 and 280.42 is: 384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.61 : 391.58 = 280.42 : x
  2. Step 2: Convert to fraction form
    285.61/391.58 = 280.42/x
  3. Step 3: Cross multiply
    285.61x = 391.58 × 280.42
  4. Step 4: Simplify right side
    285.61x = 109,806.86
  5. Step 5: Solve for x
    x = 109,806.86/285.61
  6. Step 6: Final answer
    x = 384.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.