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Finding the Fourth Proportional to 399.75, 551.82 and 265.16

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Solution

The fourth proportional to 399.75, 551.82 and 265.16 is: 366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.75 : 551.82 = 265.16 : x
  2. Step 2: Convert to fraction form
    399.75/551.82 = 265.16/x
  3. Step 3: Cross multiply
    399.75x = 551.82 × 265.16
  4. Step 4: Simplify right side
    399.75x = 146,317.83
  5. Step 5: Solve for x
    x = 146,317.83/399.75
  6. Step 6: Final answer
    x = 366.02

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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.