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Finding the Fourth Proportional to 285.48, 393.66 and 277.80

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Solution

The fourth proportional to 285.48, 393.66 and 277.80 is: 383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.48 : 393.66 = 277.80 : x
  2. Step 2: Convert to fraction form
    285.48/393.66 = 277.80/x
  3. Step 3: Cross multiply
    285.48x = 393.66 × 277.80
  4. Step 4: Simplify right side
    285.48x = 109,358.75
  5. Step 5: Solve for x
    x = 109,358.75/285.48
  6. Step 6: Final answer
    x = 383.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.