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Finding the Fourth Proportional to 447.02, 671.88 and 437.45

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Solution

The fourth proportional to 447.02, 671.88 and 437.45 is: 657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.02 : 671.88 = 437.45 : x
  2. Step 2: Convert to fraction form
    447.02/671.88 = 437.45/x
  3. Step 3: Cross multiply
    447.02x = 671.88 × 437.45
  4. Step 4: Simplify right side
    447.02x = 293,910.55
  5. Step 5: Solve for x
    x = 293,910.55/447.02
  6. Step 6: Final answer
    x = 657.50

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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.