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Finding the Fourth Proportional to 437.27, 603.50 and 260.24

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Solution

The fourth proportional to 437.27, 603.50 and 260.24 is: 359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.27 : 603.50 = 260.24 : x
  2. Step 2: Convert to fraction form
    437.27/603.50 = 260.24/x
  3. Step 3: Cross multiply
    437.27x = 603.50 × 260.24
  4. Step 4: Simplify right side
    437.27x = 157,050.52
  5. Step 5: Solve for x
    x = 157,050.52/437.27
  6. Step 6: Final answer
    x = 359.17

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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.