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Finding the Fourth Proportional to 437.15, 602.97 and 279.83

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Solution

The fourth proportional to 437.15, 602.97 and 279.83 is: 385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.15 : 602.97 = 279.83 : x
  2. Step 2: Convert to fraction form
    437.15/602.97 = 279.83/x
  3. Step 3: Cross multiply
    437.15x = 602.97 × 279.83
  4. Step 4: Simplify right side
    437.15x = 168,729.10
  5. Step 5: Solve for x
    x = 168,729.10/437.15
  6. Step 6: Final answer
    x = 385.98

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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.