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Finding the Fourth Proportional to 477.04, 714.84 and 233.27

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Solution

The fourth proportional to 477.04, 714.84 and 233.27 is: 349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.04 : 714.84 = 233.27 : x
  2. Step 2: Convert to fraction form
    477.04/714.84 = 233.27/x
  3. Step 3: Cross multiply
    477.04x = 714.84 × 233.27
  4. Step 4: Simplify right side
    477.04x = 166,750.73
  5. Step 5: Solve for x
    x = 166,750.73/477.04
  6. Step 6: Final answer
    x = 349.55

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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.