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Finding the Fourth Proportional to 437.34, 603.63 and 281.82

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Solution

The fourth proportional to 437.34, 603.63 and 281.82 is: 388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.34 : 603.63 = 281.82 : x
  2. Step 2: Convert to fraction form
    437.34/603.63 = 281.82/x
  3. Step 3: Cross multiply
    437.34x = 603.63 × 281.82
  4. Step 4: Simplify right side
    437.34x = 170,115.01
  5. Step 5: Solve for x
    x = 170,115.01/437.34
  6. Step 6: Final answer
    x = 388.98

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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.