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Finding the Fourth Proportional to 399.60, 551.84 and 275.57

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Solution

The fourth proportional to 399.60, 551.84 and 275.57 is: 380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.60 : 551.84 = 275.57 : x
  2. Step 2: Convert to fraction form
    399.60/551.84 = 275.57/x
  3. Step 3: Cross multiply
    399.60x = 551.84 × 275.57
  4. Step 4: Simplify right side
    399.60x = 152,070.55
  5. Step 5: Solve for x
    x = 152,070.55/399.60
  6. Step 6: Final answer
    x = 380.56

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Why These Related Problems?

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