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Finding the Fourth Proportional to 476.55, 714.89 and 233.09

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Solution

The fourth proportional to 476.55, 714.89 and 233.09 is: 349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.55 : 714.89 = 233.09 : x
  2. Step 2: Convert to fraction form
    476.55/714.89 = 233.09/x
  3. Step 3: Cross multiply
    476.55x = 714.89 × 233.09
  4. Step 4: Simplify right side
    476.55x = 166,633.40
  5. Step 5: Solve for x
    x = 166,633.40/476.55
  6. Step 6: Final answer
    x = 349.67

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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.