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Finding the Fourth Proportional to 704.66, 972.44 and 389.94

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Solution

The fourth proportional to 704.66, 972.44 and 389.94 is: 538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.66 : 972.44 = 389.94 : x
  2. Step 2: Convert to fraction form
    704.66/972.44 = 389.94/x
  3. Step 3: Cross multiply
    704.66x = 972.44 × 389.94
  4. Step 4: Simplify right side
    704.66x = 379,193.25
  5. Step 5: Solve for x
    x = 379,193.25/704.66
  6. Step 6: Final answer
    x = 538.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.