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Finding the Fourth Proportional to 704.71, 972.51 and 389.96

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Solution

The fourth proportional to 704.71, 972.51 and 389.96 is: 538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.71 : 972.51 = 389.96 : x
  2. Step 2: Convert to fraction form
    704.71/972.51 = 389.96/x
  3. Step 3: Cross multiply
    704.71x = 972.51 × 389.96
  4. Step 4: Simplify right side
    704.71x = 379,238.05
  5. Step 5: Solve for x
    x = 379,238.05/704.71
  6. Step 6: Final answer
    x = 538.15

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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.