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Finding the Fourth Proportional to 478.50, 714.25 and 443.28

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Solution

The fourth proportional to 478.50, 714.25 and 443.28 is: 661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.50 : 714.25 = 443.28 : x
  2. Step 2: Convert to fraction form
    478.50/714.25 = 443.28/x
  3. Step 3: Cross multiply
    478.50x = 714.25 × 443.28
  4. Step 4: Simplify right side
    478.50x = 316,611.47
  5. Step 5: Solve for x
    x = 316,611.47/478.50
  6. Step 6: Final answer
    x = 661.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.