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Finding the Fourth Proportional to 914.51, 1,372.22 and 427.60

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Solution

The fourth proportional to 914.51, 1,372.22 and 427.60 is: 641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.51 : 1,372.22 = 427.60 : x
  2. Step 2: Convert to fraction form
    914.51/1,372.22 = 427.60/x
  3. Step 3: Cross multiply
    914.51x = 1,372.22 × 427.60
  4. Step 4: Simplify right side
    914.51x = 586,752.27
  5. Step 5: Solve for x
    x = 586,752.27/914.51
  6. Step 6: Final answer
    x = 641.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.