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Finding the Fourth Proportional to 477.20, 714.62 and 394.43

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Solution

The fourth proportional to 477.20, 714.62 and 394.43 is: 590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.20 : 714.62 = 394.43 : x
  2. Step 2: Convert to fraction form
    477.20/714.62 = 394.43/x
  3. Step 3: Cross multiply
    477.20x = 714.62 × 394.43
  4. Step 4: Simplify right side
    477.20x = 281,862.02
  5. Step 5: Solve for x
    x = 281,862.02/477.20
  6. Step 6: Final answer
    x = 590.66

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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.