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Finding the Fourth Proportional to 476.01, 714.28 and 232.54

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Solution

The fourth proportional to 476.01, 714.28 and 232.54 is: 348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.01 : 714.28 = 232.54 : x
  2. Step 2: Convert to fraction form
    476.01/714.28 = 232.54/x
  3. Step 3: Cross multiply
    476.01x = 714.28 × 232.54
  4. Step 4: Simplify right side
    476.01x = 166,096.30
  5. Step 5: Solve for x
    x = 166,096.30/476.01
  6. Step 6: Final answer
    x = 348.93

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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.