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Finding the Fourth Proportional to 665.87, 919.08 and 417.03

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Solution

The fourth proportional to 665.87, 919.08 and 417.03 is: 575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.87 : 919.08 = 417.03 : x
  2. Step 2: Convert to fraction form
    665.87/919.08 = 417.03/x
  3. Step 3: Cross multiply
    665.87x = 919.08 × 417.03
  4. Step 4: Simplify right side
    665.87x = 383,283.93
  5. Step 5: Solve for x
    x = 383,283.93/665.87
  6. Step 6: Final answer
    x = 575.62

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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.