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Finding the Fourth Proportional to 437.26, 603.46 and 260.24

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Solution

The fourth proportional to 437.26, 603.46 and 260.24 is: 359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.26 : 603.46 = 260.24 : x
  2. Step 2: Convert to fraction form
    437.26/603.46 = 260.24/x
  3. Step 3: Cross multiply
    437.26x = 603.46 × 260.24
  4. Step 4: Simplify right side
    437.26x = 157,044.43
  5. Step 5: Solve for x
    x = 157,044.43/437.26
  6. Step 6: Final answer
    x = 359.16

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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.