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Finding the Fourth Proportional to 914.60, 1,371 and 427.40

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Solution

The fourth proportional to 914.60, 1,371 and 427.40 is: 640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.60 : 1,371 = 427.40 : x
  2. Step 2: Convert to fraction form
    914.60/1,371 = 427.40/x
  3. Step 3: Cross multiply
    914.60x = 1,371 × 427.40
  4. Step 4: Simplify right side
    914.60x = 585,965.40
  5. Step 5: Solve for x
    x = 585,965.40/914.60
  6. Step 6: Final answer
    x = 640.68

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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.