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Finding the Fourth Proportional to 664.92, 917.08 and 428.70

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Solution

The fourth proportional to 664.92, 917.08 and 428.70 is: 591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.92 : 917.08 = 428.70 : x
  2. Step 2: Convert to fraction form
    664.92/917.08 = 428.70/x
  3. Step 3: Cross multiply
    664.92x = 917.08 × 428.70
  4. Step 4: Simplify right side
    664.92x = 393,152.20
  5. Step 5: Solve for x
    x = 393,152.20/664.92
  6. Step 6: Final answer
    x = 591.28

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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.