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Finding the Fourth Proportional to 470.13, 648.90 and 295.62

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Solution

The fourth proportional to 470.13, 648.90 and 295.62 is: 408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.13 : 648.90 = 295.62 : x
  2. Step 2: Convert to fraction form
    470.13/648.90 = 295.62/x
  3. Step 3: Cross multiply
    470.13x = 648.90 × 295.62
  4. Step 4: Simplify right side
    470.13x = 191,827.82
  5. Step 5: Solve for x
    x = 191,827.82/470.13
  6. Step 6: Final answer
    x = 408.03

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