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Finding the Fourth Proportional to 399.46, 551.32 and 233.64

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Solution

The fourth proportional to 399.46, 551.32 and 233.64 is: 322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.46 : 551.32 = 233.64 : x
  2. Step 2: Convert to fraction form
    399.46/551.32 = 233.64/x
  3. Step 3: Cross multiply
    399.46x = 551.32 × 233.64
  4. Step 4: Simplify right side
    399.46x = 128,810.40
  5. Step 5: Solve for x
    x = 128,810.40/399.46
  6. Step 6: Final answer
    x = 322.46

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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.