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Finding the Fourth Proportional to 476.70, 714.69 and 233.25

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Solution

The fourth proportional to 476.70, 714.69 and 233.25 is: 349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.70 : 714.69 = 233.25 : x
  2. Step 2: Convert to fraction form
    476.70/714.69 = 233.25/x
  3. Step 3: Cross multiply
    476.70x = 714.69 × 233.25
  4. Step 4: Simplify right side
    476.70x = 166,701.44
  5. Step 5: Solve for x
    x = 166,701.44/476.70
  6. Step 6: Final answer
    x = 349.70

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