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Finding the Fourth Proportional to 437.52, 656.35 and 203.21

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Solution

The fourth proportional to 437.52, 656.35 and 203.21 is: 304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.52 : 656.35 = 203.21 : x
  2. Step 2: Convert to fraction form
    437.52/656.35 = 203.21/x
  3. Step 3: Cross multiply
    437.52x = 656.35 × 203.21
  4. Step 4: Simplify right side
    437.52x = 133,373.09
  5. Step 5: Solve for x
    x = 133,373.09/437.52
  6. Step 6: Final answer
    x = 304.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.