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Finding the Fourth Proportional to 470.07, 648.41 and 295.52

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Solution

The fourth proportional to 470.07, 648.41 and 295.52 is: 407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.07 : 648.41 = 295.52 : x
  2. Step 2: Convert to fraction form
    470.07/648.41 = 295.52/x
  3. Step 3: Cross multiply
    470.07x = 648.41 × 295.52
  4. Step 4: Simplify right side
    470.07x = 191,613.40
  5. Step 5: Solve for x
    x = 191,613.40/470.07
  6. Step 6: Final answer
    x = 407.63

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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.