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Finding the Fourth Proportional to 470.04, 648.80 and 377.44

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Solution

The fourth proportional to 470.04, 648.80 and 377.44 is: 520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.04 : 648.80 = 377.44 : x
  2. Step 2: Convert to fraction form
    470.04/648.80 = 377.44/x
  3. Step 3: Cross multiply
    470.04x = 648.80 × 377.44
  4. Step 4: Simplify right side
    470.04x = 244,883.07
  5. Step 5: Solve for x
    x = 244,883.07/470.04
  6. Step 6: Final answer
    x = 520.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.