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Finding the Fourth Proportional to 437.54, 603.80 and 260.58

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Solution

The fourth proportional to 437.54, 603.80 and 260.58 is: 359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.54 : 603.80 = 260.58 : x
  2. Step 2: Convert to fraction form
    437.54/603.80 = 260.58/x
  3. Step 3: Cross multiply
    437.54x = 603.80 × 260.58
  4. Step 4: Simplify right side
    437.54x = 157,336.90
  5. Step 5: Solve for x
    x = 157,336.90/437.54
  6. Step 6: Final answer
    x = 359.59

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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.