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Finding the Fourth Proportional to 476.84, 714.36 and 233.12

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Solution

The fourth proportional to 476.84, 714.36 and 233.12 is: 349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.84 : 714.36 = 233.12 : x
  2. Step 2: Convert to fraction form
    476.84/714.36 = 233.12/x
  3. Step 3: Cross multiply
    476.84x = 714.36 × 233.12
  4. Step 4: Simplify right side
    476.84x = 166,531.60
  5. Step 5: Solve for x
    x = 166,531.60/476.84
  6. Step 6: Final answer
    x = 349.24

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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.