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Finding the Fourth Proportional to 665.02, 917.46 and 428.94

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Solution

The fourth proportional to 665.02, 917.46 and 428.94 is: 591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.02 : 917.46 = 428.94 : x
  2. Step 2: Convert to fraction form
    665.02/917.46 = 428.94/x
  3. Step 3: Cross multiply
    665.02x = 917.46 × 428.94
  4. Step 4: Simplify right side
    665.02x = 393,535.29
  5. Step 5: Solve for x
    x = 393,535.29/665.02
  6. Step 6: Final answer
    x = 591.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.