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Finding the Fourth Proportional to 470.01, 648.32 and 295.05

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Solution

The fourth proportional to 470.01, 648.32 and 295.05 is: 406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.01 : 648.32 = 295.05 : x
  2. Step 2: Convert to fraction form
    470.01/648.32 = 295.05/x
  3. Step 3: Cross multiply
    470.01x = 648.32 × 295.05
  4. Step 4: Simplify right side
    470.01x = 191,286.82
  5. Step 5: Solve for x
    x = 191,286.82/470.01
  6. Step 6: Final answer
    x = 406.98

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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.