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Finding the Fourth Proportional to 704.46, 972.19 and 389.76

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Solution

The fourth proportional to 704.46, 972.19 and 389.76 is: 537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.46 : 972.19 = 389.76 : x
  2. Step 2: Convert to fraction form
    704.46/972.19 = 389.76/x
  3. Step 3: Cross multiply
    704.46x = 972.19 × 389.76
  4. Step 4: Simplify right side
    704.46x = 378,920.77
  5. Step 5: Solve for x
    x = 378,920.77/704.46
  6. Step 6: Final answer
    x = 537.89

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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.