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Finding the Fourth Proportional to 704.43, 1,056.56 and 357.71

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Solution

The fourth proportional to 704.43, 1,056.56 and 357.71 is: 536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.43 : 1,056.56 = 357.71 : x
  2. Step 2: Convert to fraction form
    704.43/1,056.56 = 357.71/x
  3. Step 3: Cross multiply
    704.43x = 1,056.56 × 357.71
  4. Step 4: Simplify right side
    704.43x = 377,935.01
  5. Step 5: Solve for x
    x = 377,935.01/704.43
  6. Step 6: Final answer
    x = 536.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.