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Finding the Fourth Proportional to 399.88, 551.64 and 282.16

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Solution

The fourth proportional to 399.88, 551.64 and 282.16 is: 389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.88 : 551.64 = 282.16 : x
  2. Step 2: Convert to fraction form
    399.88/551.64 = 282.16/x
  3. Step 3: Cross multiply
    399.88x = 551.64 × 282.16
  4. Step 4: Simplify right side
    399.88x = 155,650.74
  5. Step 5: Solve for x
    x = 155,650.74/399.88
  6. Step 6: Final answer
    x = 389.24

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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.