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Finding the Fourth Proportional to 448.72, 671.46 and 437.92

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Solution

The fourth proportional to 448.72, 671.46 and 437.92 is: 655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.72 : 671.46 = 437.92 : x
  2. Step 2: Convert to fraction form
    448.72/671.46 = 437.92/x
  3. Step 3: Cross multiply
    448.72x = 671.46 × 437.92
  4. Step 4: Simplify right side
    448.72x = 294,045.76
  5. Step 5: Solve for x
    x = 294,045.76/448.72
  6. Step 6: Final answer
    x = 655.30

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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.