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Finding the Fourth Proportional to 704.52, 1,057.42 and 339.16

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Solution

The fourth proportional to 704.52, 1,057.42 and 339.16 is: 509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.52 : 1,057.42 = 339.16 : x
  2. Step 2: Convert to fraction form
    704.52/1,057.42 = 339.16/x
  3. Step 3: Cross multiply
    704.52x = 1,057.42 × 339.16
  4. Step 4: Simplify right side
    704.52x = 358,634.57
  5. Step 5: Solve for x
    x = 358,634.57/704.52
  6. Step 6: Final answer
    x = 509.05

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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.