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Finding the Fourth Proportional to 470.22, 648.98 and 346.53

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Solution

The fourth proportional to 470.22, 648.98 and 346.53 is: 478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.22 : 648.98 = 346.53 : x
  2. Step 2: Convert to fraction form
    470.22/648.98 = 346.53/x
  3. Step 3: Cross multiply
    470.22x = 648.98 × 346.53
  4. Step 4: Simplify right side
    470.22x = 224,889.39
  5. Step 5: Solve for x
    x = 224,889.39/470.22
  6. Step 6: Final answer
    x = 478.26

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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.