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Finding the Fourth Proportional to 437.84, 604.24 and 260.90

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Solution

The fourth proportional to 437.84, 604.24 and 260.90 is: 360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.84 : 604.24 = 260.90 : x
  2. Step 2: Convert to fraction form
    437.84/604.24 = 260.90/x
  3. Step 3: Cross multiply
    437.84x = 604.24 × 260.90
  4. Step 4: Simplify right side
    437.84x = 157,642.54
  5. Step 5: Solve for x
    x = 157,642.54/437.84
  6. Step 6: Final answer
    x = 360.04

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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.