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Finding the Fourth Proportional to 701.05, 1,050.25 and 353.54

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Solution

The fourth proportional to 701.05, 1,050.25 and 353.54 is: 529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.05 : 1,050.25 = 353.54 : x
  2. Step 2: Convert to fraction form
    701.05/1,050.25 = 353.54/x
  3. Step 3: Cross multiply
    701.05x = 1,050.25 × 353.54
  4. Step 4: Simplify right side
    701.05x = 371,304.84
  5. Step 5: Solve for x
    x = 371,304.84/701.05
  6. Step 6: Final answer
    x = 529.64

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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.