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Finding the Fourth Proportional to 476.51, 714.09 and 233.21

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Solution

The fourth proportional to 476.51, 714.09 and 233.21 is: 349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.51 : 714.09 = 233.21 : x
  2. Step 2: Convert to fraction form
    476.51/714.09 = 233.21/x
  3. Step 3: Cross multiply
    476.51x = 714.09 × 233.21
  4. Step 4: Simplify right side
    476.51x = 166,529.36
  5. Step 5: Solve for x
    x = 166,529.36/476.51
  6. Step 6: Final answer
    x = 349.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.