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Finding the Fourth Proportional to 476.08, 714.24 and 232.72

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Solution

The fourth proportional to 476.08, 714.24 and 232.72 is: 349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.08 : 714.24 = 232.72 : x
  2. Step 2: Convert to fraction form
    476.08/714.24 = 232.72/x
  3. Step 3: Cross multiply
    476.08x = 714.24 × 232.72
  4. Step 4: Simplify right side
    476.08x = 166,217.93
  5. Step 5: Solve for x
    x = 166,217.93/476.08
  6. Step 6: Final answer
    x = 349.14

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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.