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Finding the Fourth Proportional to 437.92, 659.49 and 395.08

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Solution

The fourth proportional to 437.92, 659.49 and 395.08 is: 594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.92 : 659.49 = 395.08 : x
  2. Step 2: Convert to fraction form
    437.92/659.49 = 395.08/x
  3. Step 3: Cross multiply
    437.92x = 659.49 × 395.08
  4. Step 4: Simplify right side
    437.92x = 260,551.31
  5. Step 5: Solve for x
    x = 260,551.31/437.92
  6. Step 6: Final answer
    x = 594.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.