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Finding the Fourth Proportional to 437.34, 603.63 and 262.86

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Solution

The fourth proportional to 437.34, 603.63 and 262.86 is: 362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.34 : 603.63 = 262.86 : x
  2. Step 2: Convert to fraction form
    437.34/603.63 = 262.86/x
  3. Step 3: Cross multiply
    437.34x = 603.63 × 262.86
  4. Step 4: Simplify right side
    437.34x = 158,670.18
  5. Step 5: Solve for x
    x = 158,670.18/437.34
  6. Step 6: Final answer
    x = 362.81

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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.