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Finding the Fourth Proportional to 477.38, 714.63 and 441.38

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Solution

The fourth proportional to 477.38, 714.63 and 441.38 is: 660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.38 : 714.63 = 441.38 : x
  2. Step 2: Convert to fraction form
    477.38/714.63 = 441.38/x
  3. Step 3: Cross multiply
    477.38x = 714.63 × 441.38
  4. Step 4: Simplify right side
    477.38x = 315,423.39
  5. Step 5: Solve for x
    x = 315,423.39/477.38
  6. Step 6: Final answer
    x = 660.74

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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.