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Finding the Fourth Proportional to 472.18, 704.99 and 443.02

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Solution

The fourth proportional to 472.18, 704.99 and 443.02 is: 661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.18 : 704.99 = 443.02 : x
  2. Step 2: Convert to fraction form
    472.18/704.99 = 443.02/x
  3. Step 3: Cross multiply
    472.18x = 704.99 × 443.02
  4. Step 4: Simplify right side
    472.18x = 312,324.67
  5. Step 5: Solve for x
    x = 312,324.67/472.18
  6. Step 6: Final answer
    x = 661.45

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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.