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Finding the Fourth Proportional to 437.57, 603.95 and 262.88

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Solution

The fourth proportional to 437.57, 603.95 and 262.88 is: 362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.57 : 603.95 = 262.88 : x
  2. Step 2: Convert to fraction form
    437.57/603.95 = 262.88/x
  3. Step 3: Cross multiply
    437.57x = 603.95 × 262.88
  4. Step 4: Simplify right side
    437.57x = 158,762.04
  5. Step 5: Solve for x
    x = 158,762.04/437.57
  6. Step 6: Final answer
    x = 362.83

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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.