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Finding the Fourth Proportional to 477.20, 644.70 and 477.20

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Solution

The fourth proportional to 477.20, 644.70 and 477.20 is: 644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.20 : 644.70 = 477.20 : x
  2. Step 2: Convert to fraction form
    477.20/644.70 = 477.20/x
  3. Step 3: Cross multiply
    477.20x = 644.70 × 477.20
  4. Step 4: Simplify right side
    477.20x = 307,650.84
  5. Step 5: Solve for x
    x = 307,650.84/477.20
  6. Step 6: Final answer
    x = 644.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.